EX-10.1

Exhibit 10.1

RESALE ORGANIZATION AGREEMENT

This Resale Organization Agreement (this “Agreement”) is entered into as of April 14, 2026, by and among Stereotaxis, Inc., a Delaware corporation (the “Purchaser”), and the sellers listed on Exhibit A hereto (each, a “Seller,” and collectively, the “Sellers”).

RECITALS

WHEREAS, Purchaser and the Sellers have entered into that certain Share Sale Agreement, dated as of April 14, 2026 (the “SPA”), pursuant to which Purchaser has agreed to issue to the Sellers shares of Purchaser Common Stock and Purchaser Warrants as consideration for the acquisition of their securities of Robocath S.A.;

WHEREAS, pursuant to Section 2.2(a)(v) of the SPA, the parties have agreed to enter into this Agreement to govern the orderly resale of Registrable Securities following the Closing;

NOW, THEREFORE, in consideration of the mutual covenants and agreements set forth herein, and for other good and valuable consideration, the receipt and sufficiency of which are hereby acknowledged, the parties hereto agree as follows:

ARTICLE I — DEFINITIONS

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Except as otherwise defined in the Agreement, capitalized terms used but not defined herein shall have the meanings ascribed to them in the SPA. In addition, the following terms shall have the meanings set forth below:

ARTICLE II — PRIORITY RESALE RIGHTS

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During the Priority Period, EIB shall benefit from a priority right to effect sales of its shares of Purchaser Common Stock in priority to any other Seller, subject to the Daily Volume Cap. For the avoidance of doubt, EIB’s exercise of its priority resale right hereunder remains subject to all applicable US federal securities laws.

ARTICLE III — VOLUME LIMITATIONS and Coordination of Sales

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Section 3.1. Daily Volume Cap. During the Restricted Period, the Sellers, collectively, shall not sell in open-market transactions more than the Daily Volume Cap in any single trading day. Each Seller’s individual allocation of the Daily Volume Cap shall be determined as follows:

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Section 3.2. No Price-Based Restrictions. For the avoidance of doubt, no Seller shall be subject to any restriction on the price at which it may sell its shares of Purchaser Common Stock, and no minimum sale price shall apply.

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Section 3.3. Coordination of Sales. During the Restricted Period, following the end of the Priority Period, all Sellers shall use commercially reasonable efforts to coordinate their sales through a single agreed broker or agreed trading windows (if mutually agreed, but not mandatory) to ensure (i) orderly execution and minimize market disruption and (ii) compliance with the limitations described herein. The parties shall cooperate with each other and Purchaser’s transfer agent in effectuating reasonable procedures and safeguard (including, if appropriate legends or stop transfer instructions) to implement the terms of this Agreement. For the avoidance of doubt, the provisions of this Section 3.3 shall not prevent any of the Sellers from entering into an arrangement with a broker of its choice.

ARTICLE IV —Block Trades and Privately Negotiated Transactions

Nothing in this Agreement, including the Daily Volume Cap and the priority right, shall restrict any Seller from effecting privately negotiated transfers or block trades of Registrable Securities; provided that (i) any such transfer complies with or is exempt from applicable securities laws, including the Securities Act and any applicable state and international securities laws, (ii) any transferee who is not named as a selling stockholder in the Registration Statement shall either (A) if requested by such transferee, be added to the Registration Statement pursuant to a prospectus supplement or post-effective amendment filed by Purchaser in accordance with Section 6.10(b) of the SPA, subject to such transferee providing the questionnaire and other materials reasonably requested by Purchaser pursuant to Section 6.10(b) of the SPA and provided that, if such transferee is not eligible to be added by a prospectus supplement and must be added by post-effective amendment, Purchaser may delay such post-effective amendment until the time of Purchaser’s next periodic report filing date under the Exchange Act, and shall not be required to post-effectively amend the Registration Statement more frequently than once per quarter, or (B) rely on an available exemption from the registration requirements of the Securities Act, including Rule 144, and (iii) any such transferee shall agree in writing to be bound by the terms of the Resale Organization Agreement and Section 6.10 of the SPA, as applicable.

Notwithstanding anything to the contrary in this Agreement, EIB shall be free to sell, dispose of or otherwise transfer any of the Purchaser Warrants it holds without any limitation or restriction, including restriction on the price at which it may sell its Purchaser Warrants, and no minimum sale price shall apply in accordance with the terms of the Purchaser Warrants, provided any such sale, disposition or transfer complies with or is exempt from applicable securities laws, including the Securities Act and any applicable state and international securities laws and provided further that any such transferee of Purchaser Warrants shall agree in writing that any shares of Purchaser Common Stock issuable on exercise of such Purchaser Warrants shall be bound by the terms of the Resale Organization Agreement and Section 6.10 of the SPA, as applicable.

ARTICLE V — MOST FAVORED NATION

If, at any time during the Restricted Period, the Purchaser enters into any agreement, arrangement, or understanding with any holder of Purchaser Common Stock (other than the Sellers) that provides such holder with daily trading volume allowances or other volume-related resale terms that are more favorable than those set forth in this Agreement, the Purchaser shall promptly notify the Sellers in writing of such terms, and in any event no later than five (5) days thereafter, and the Sellers shall automatically be entitled to the benefit of such more favorable terms, which shall be deemed to amend and supplement the corresponding provisions of this Agreement (notwithstanding Section 7.2 of this Agreement), effective as of the date such more favorable terms are granted to such other holder. In the event that the Purchaser fails to provide such written notice within five (5) Business Days of granting such more favorable terms to such other holder, the Sellers shall be deemed to have received such notice as of the date such more favorable terms were granted, and shall be entitled to the benefit thereof from such date. For the avoidance of doubt, the foregoing shall apply to any increase in the Daily Volume Cap or any relaxation of the volume limitations set forth herein, whether granted on an individual or aggregate basis.

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ARTICLE VI — TENDER OFFERS AND CHANGE OF CONTROL TRANSACTIONS

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Notwithstanding anything to the contrary in this Agreement, in the event that a bona fide tender offer, exchange offer, or similar takeover bid is commenced by any person (other than a Seller or any of its Affiliates) for all or substantially all of the outstanding shares of Purchaser Common Stock, each Seller shall be entitled to tender, exchange, or otherwise offer for sale all of its shares of Purchaser Common Stock (including all Registrable Securities) in connection with such offer or bid, without regards to any volume limitations, Daily Volume Cap restrictions, priority rights, or other resale restrictions set forth in this Agreement. For purposes of this Article VI, a tender offer, exchange offer, or similar takeover bid shall be deemed to have “commenced” as of the date of its public announcement. The restrictions set forth in this Agreement shall be automatically suspended with respect to any such tender, exchange, or offer for the duration of the applicable offer period and shall be reinstated upon the expiration, termination, or withdrawal of such offer or bid, provided that such reinstatement shall not take effect until the third (3rd) Business Day following such expiration, termination, or withdrawal (the “Reinstatement Date”), during which period Sellers shall remain free to complete any tendering or transfer of shares initiated prior to such expiration, termination, or withdrawal, to the extent any Registrable Securities remain held by the Sellers.

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ARTICLE VII — GENERAL PROVISIONS

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Section 7.1. Term. This Agreement shall remain in effect until the end of the Restricted Period, unless earlier terminated by written agreement of Purchaser and the Sellers.

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Section 7.2. Amendment. This Agreement may not be amended, modified, or supplemented except by a written instrument signed by Purchaser and the Sellers.

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Section 7.3. Incorporation by Reference. Sections 10.5 (Notice), 10.6 (Counterparts), 10.7 (Entire Agreement; No Third Party Beneficiaries), 10.8 (Severability), 10.9 (Governing Law), 10.10 (Venue and Jurisdiction), 10.11 (Enforcement), 10.13 (Headings), and 10.14 (Days) of the SPA shall apply to this Agreement mutatis mutandis.

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[Signature pages follow]

EXHIBIT A — LIST OF SELLERS

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