Federer and world number one Nadal won the first three grand slam titles of the season as they came back to prominence with a bang, and nothing suggests their first-round opponents, American Frances Tiafoe and Serbian Dusan Lajovic, will bother them.
The twice Wimbledon champion, a semi-finalist at Roland Garros in 2012, looked poised and focused, treating the sparse Court Philippe Chatrier crowd to a few exquisite drop shots and lightning-quick forehands.
Images from Day 1 of the French Open matches played at Roland Garros on Sunday
"Specifically, with Bouchard we are comfortable with our decision of putting her on Ashe, there are a lot of matches to schedule today, things could have gone many different ways," USTA spokesman Chris Widmaier told Reuters.
Federer begins the pursuit of a record eighth Wimbledon title and a record 85th match win at the grass court major; Djokovic hoping to curb dismal slide
Maria Sharapova will be back in the US Open spotlight on Wednesday hoping she can come up with a winning encore to her electrifying first round victory over second seed Simona Halep.
PHOTOS from day two of the Wimbledon championships at the All England Lawn Tennis and Croquet Club in London on Tuesday.
Ukrainian fourth seed Elina Svitolina powered into the third round of the U.S. Open with a 6-4, 6-4 win against Russian Evgeniya Rodina on Thursday.
IMAGES from Day 3 of the US Open in New York on Wednesday.