Fifth seeds Leander Paes and Nenad Zimonjic of Serbia entered the semi-finals of the Monte Carlo Masters, beating the Czech pair of Martin Damm and Radek Stepanek.
Paes and the Czech Republic's Rikl defeated fifth seed Australian duo Wayne Arthurs and Paul Hanley 6-3, 6-2.
Brazil's Marcelo Melo and Andre Sa set a new men's doubles record at Wimbledon in terms of games played and most games played in the deciding set.
The Indo-Czech pair beat Leos Friedl of the Czech Republic and Mikhail Youzhny of Russia in the quarter-finals at the US Open.
Bhupathi and Mirnyi will take on Cyril Suk and Martin Damm of Czech Republic in the semi-final.
Indian tennis legend Leander Paes won his first title of the season when he triumphed at the Winston-Salem Open with Canadian Daniel Nestor.