Nadal faced no break points in a ruthless display to set up a meeting with Canadian Denis Shapovalov.
The top-seeded Serb, who had not dropped a set in four matches since the round of 16 at the Australian Open in January, looked out-of-sorts throughout the 98-minute contest.
A summary of Sunday's action at the US Open.
It was a triumphant return to the tour for Djokovic
Serena Williams and Naomi Osaka advanced to the Rogers Cup quarter-finals on Thursday to set up their first meeting since the American's infamous row with an umpire overshadowed last year's US Open final.
Big-serving Isner reaches Montreal second round
Bhambri, ranked 200th, recovered from a set down and registered what turned to be an emphatic 6-7, 6-3, 6-1 win over Pella in a match that lasted for two hours and 10 minutes.
Images from Day 10 of the 2021 French Open at Roland Garros in Paris on Tuesday.
Eugenie Bouchard's mid-season nosedive continued on Tuesday as the Canadian was swept aside 6-3 6-4 by Croatian qualifier Donna Vekic despite having home advantage and the backing of an excited crowd in a first round clash at the Rogers Cup.
Nadal, playing his first match since losing to Roger Federer in the Wimbledon semi-finals, fell behind 5-2 in the tiebreak before roaring back to prevail in his first career meeting with world number 53 Evans.
Images from Day 4 of the Wimbledon tennis championships played in London, on Wednesday.
Images from Day 10 of the 2021 US Open in New York on Thursday.
A summary of sports events and persons who made news on Friday
A summary of Thursday's play at the US Open.