Novak recorded a 7-5, 6-3, 6-4 win over Steve Darcis in the second round action at Roland Garros on Thursday.
Nole began his Roland Garros 2016 campaign on Tuesday, defeating world no.95 Yen-Hsun Lu 6-4, 6-1, 6-1.
The second Grand Slam of the season, the Roland Garros, is taking place in Paris, from May 22 to June 5, 2016.
The world no.1 and four-time champion lost the Italian Open final to no.2 seed Andy Murray 3-6, 3-6 in one hour and 35 minutes.
Nole recovered from a set down to beat no.6 seed Kei Nishikori 2-6, 6-4, 7-6 in the semi-finals of the ATP Masters 1000 event in Rome.
Djokovic beat no.5 seed Rafael Nadal 7-5, 7-6 (4) in titanic battle to progress into the semi-finals of the Italian Open on Friday.
The top seed defeated world no.37 Thomaz Bellucci 0-6, 6-3, 6-2 to set up a quarter-final showdown with Rafael Nadal (ESP, 5).
Nole opened his Internazionali BNL d’Italia campaign with a 7-5,7-5 win over 35-year-old French qualifier Stephane Robert (ATP #103).
Last year Nole won his fourth Rome Masters crown with a 6-4, 6-3 victory over Roger Federer in the final.
Novak won his fifth title in 2016, and 64th overall, with a 6-2, 3-6, 6-3 triumph over Andy Murray.