The world number one took to Court Philippe Chatrier later than scheduled at 4 p.m. local time after the predicted bad weather interrupted play.
Seven-time champion Rafael Nadal did not make it on to court and will have to return on Friday to take on Slovakia’s Martin Klizan.
Djokovic was held up once again by the rain in the second set but, when on court, wasted no time in seeing off world number 83, Pella, 6-2 6-0 6-2, to reach the last 32.
“It’s like deja vu from two days ago, you know, coming in and out and warming up five times,” said Djokovic.
“But it is the way it is, it’s weather. You can’t affect the nature. I’m just glad that I finished the match today.”
He will next meet Grigor Dimitrov, the Bulgarian 26th seed, who beat Djokovic on the Madrid clay earlier this month.Dimitrov made it through around a couple of rain delays with a comprehensive 6-1 7-6 (7-4) 6-1 win over France’s Lucas Pouille on Court Suzanne Lenglen, and Djokovic was clearly determined not to hang about on Chatrier.