Play was held up for over three hours on Tuesday before finally resuming at 1845 local time (1645 GMT) with the first two women's quarter-finals at Roland Garros.
Switzerland's Timea Bacsinszky was a set up on France's Kristina Mladenovic on Court Philippe Chatrier before the interruption.
Latvian teenager Jelena Ostapenko was serving for the second set in her match against Caroline Woznacki after the Dane clinched the opener 6-4.
Nine-time champion Nadal is due to take on compatriot Pablo Carreno Busta, while title-holder Djokovic faces sixth seed Dominic Thiem in a repeat of last year's semi-final.
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