The French Open champion and winner of two of the last six grand slams strolled off court after a volleyed put-away clinched victory in an hour and 31 minutes.
The fourth-seeded Swiss has only once reached the quarter-final at Wimbledon, losing to compatriot Roger Federer last year, and will face Spaniard Fernando Verdasco in the third round on Friday.
Dominican Estrella Burgos, who had never won back-to-back matches on grass, was broken once at the tail-end of each set.
“He’s a tough player,” Wawrinka told the BBC. “I didn’t know exactly what to expect, but I’m happy to get through in three sets. There are a lot of things I would like to be doing better but it’s important to get through.”
A double fault by the narrowest of margins allowed Marin Cilic to complete a great escape at Wimbledon on Wednesday as the U.S. Open champion lived to fight another day with a 6-3 4-6 7-6(6) 4-6 7-5 victory over journeyman Richard Berankis.
The Lithuanian appeared to be on the verge of pulling off a shock upset when he held two break points at 5-5 in the fifth set.
But Croatian Cilic saved the first with a forehand winner and blew out his cheeks in relief when he saw Berankis’s forehand drop long on the second.
One game later it was all over as Hawkeye confirmed Berankis’s second serve at match point down had missed the line by millimetres, allowing Cilic to book a third-round clash with American John Isner.