Rafael Nadal launched his pursuit of a record 10th French Open title in convincing fashion, while defending champion Novak Djokovic eased to victory under the gaze of new coach Andre Agassi.
Reigning women's champion Garbine Muguruza began her Roland Garros defence with a straight-sets triumph over 2010 winner Francesca Schiavone.
Nadal, who was forced to withdraw before last year's third round with a wrist injury, brushed aside 45th-ranked Benoit Paire 6-1, 6-4, 6-1 inside two hours.
"I'm very happy to be back here after what happened last year. It's great to feel the support," said the 14-time major champion.
Nadal broke Frenchman Paire eight times and recovered from a slight second-set wobble when he dropped serve twice in a row to surge into a round two meeting with Dutchman Robin Haase.
"It's always at the start, happy for the victory. Was not an easy opponent in the first round, obviously. He's an uncomfortable opponent that already he had some good victories this year," added Nadal.
Title-holder Djokovic strolled through his opener against Marcel Granollers of Spain, advancing 6-3, 6-4, 6-2.
With 1999 French Open champion Agassi in the players box for the first time after agreeing a short-term coaching role, Djokovic experienced some trouble against the world number 77, being broken four times.
"It's great to have Andre Agassi as coach and as a mentor. I will try to learn as much as I can from him," said Djokovic.
The Serb, seeking to become the first man in the Open era to win all four majors on at least two occasions, will take on Portugal's Joao Sousa next.
"Coming to this tournament for first time as a defending champion gave me, probably more than anything else, relief, because the anticipation and the pressure and expectations that I had also for myself but all the other people around me in the last three, four, five years before 2016 Roland Garros trophy was really big," added Djokovic.
Muguruza's middling form this season saw her arrive in Paris with just three wins on clay, but the Spaniard dispatched former Paris champion Schiavone 6-2, 6-4.
The fourth seed will meet Estonia's Anett Kontaveit for a place in round three as Schiavone, who turns 37 in June, bid farewell to the tournament for possibly the final time.
"I cannot believe in the first round we have two ex-champions. Not only that but Francesca is a legend and I was very excited to play on Philippe Chatrier court with her," said Muguruza.
"I know I played good here before. That doesn't make me extra confident this year. I think I just have to earn that confidence here, and, like today, going out there, trying to deal with things. That's what brings me confidence. Not remembering how I played last year."
Muguruza defeated Serena Williams to win her maiden Grand Slam a year ago, but the 23-year-old needs to return to the final to stay in the world's top 10.
Second seed Karolina Pliskova won for just the third time in six visits to Roland Garros with a 7-5, 6-2 victory over China's Zheng Saisai.
Former French Open runners-up Sam Stosur and Sara Errani, the latter coming through qualifying, also moved into round two.
Canadian fifth seed Milos Raonic raced through with a routine 6-3, 6-4, 6-2 victory over Steve Darcis of Belgium.
Raonic fired 15 aces and 44 winners to book a meeting with Brazil's Rogerio Dutra Silva, who saved two match points before overcoming Mikhail Youzhny of Russia in five sets.
Former US Open champion Marin Cilic and Belgian 10th seed David Goffin also progressed, but American 14th seed Jack Sock was blown away in three sets by towering Czech left-hander Jiri Vesely.
David Ferrer, the 2013 runner-up, outlasted American Donald Young in a four-and-a-half-hour marathon, prevailing 13-11 in the final set.
Rising German star Alexander Zverev, seeded ninth, will return to finish his first-round tie against veteran Spaniard Fernando Verdasco on Tuesday after play was suspended due to darkness at one set all.