The present invention provides antibodies and antigen-binding molecules thereof which specifically bind the α and/or β subunits of the non-active form of the GPIIb/IIIIa receptor. The antibodies and antigen-binding molecules can be genetically fused and/or conjugated to heterologous moieties and used, for example, as targeting moieties. The invention also includes methods for screening for these antibodies, as well as methods of making and methods of using chimeric molecules derived from the antibodies.