United States securities and exchange commission logo April 10, 2023 Dr. A. Rachel Leheny Chief Executive Officer CalciMedica, Inc. 505 Coast Boulevard South, Suite 307 La Jolla, California 92037 Re: CalciMedica, Inc. Registration Statement on Form S-3 Filed April 4, 2023 File No. 333-271115 Dear Dr. A. Rachel Leheny: This is to advise you that we have not reviewed and will not review your registration statement. Please refer to Rules 460 and 461 regarding requests for acceleration. We remind you that the company and its management are responsible for the accuracy and adequacy of their disclosures, notwithstanding any review, comments, action or absence of action by the staff. Please contact Cindy Polynice at 202-551-8707 with any questions. Sincerely, Division of Corporation Finance Office of Life Sciences cc: Carlos Ramirez, Esq.