Then, we comprehensively review the available evidence pertaining to the crosstalk between CSCs/CICs and various ICPs (i.e., PD-1/PD-L1, CTLA-4, B7-H3, B7-H4, CD200 and CD155, VISTA, TIGIT, CD47, CD70, CEACAMs, and galectins) and their role in the impairment of cancer immunosurveillance. The gene discussed is CTLA4; the disease is cancer.