A device (1) for anchoring on biological tissue a prosthetic heart valve (V), includes first (2) and second (4) anchoring assemblies mutually couplable to secure biological tissue therebetween. The anchoring assemblies (2,4) include at least one pair of complementary arched portions having anchoring formations (16,18,24,32) for anchoring on the biological tissue. The anchoring formations include integral extensions (16,18,24,32) of said anchoring assemblies (2,4) extending radially outwardly of one of the anchoring assemblies (2,4).