A native of Bolgrad in Bessarabia (now Bolhrad, Ukraine), Grekov was educated at a French legal school.

[1] Grekov, at the time a Conservative, was a member of the Bulgarian Constitutional Assembly convened in February 1879, a body that formed the basis of the national parliament of the newly independent state.

[2] In the 1879 cabinet of Todor Burmov he served as Minister of Justice, the first of an independent Bulgaria.

The three man team searched in Belgrade and Vienna and were refused entry into Russia before settling on Ferdinand of Saxe-Coburg-Gotha, to whom they offered the crown.

[3] Grekov was appointed prime minister on 30 January 1899 and was removed from office on 13 October that same year after a brief and unremarkable tenure.