There was more a sense of a point gained than two dropped for United, with the Barclays Premier League champions withstanding an aerial onslaught format he home side.
United had David De Gea to thank for keeping them in the game - with the Spaniard pulling of some superb stops - and Evra was pleased to return to Old Trafford with something to show for their endeavours.
“I will be honest, it was a good point," the defender told MUTV. "It is really difficult to go to Stoke and get three points.
"We did it last season and we had a good opportunity to do it again on Saturday through Ryan Giggs.
"But big teams come here and only get a point. It was not an easy game and it finished with a draw."
Although United were able to leave the Potteries with a draw, Evra was disappointed with the manner in which they conceded the leveller.
However, the Frenchman is of the opinion that he and his teammates showed their mettle when the going got tough.
“We are disappointed because we conceded a goal from a set-piece, but after the game you feel strong,” added Evra.
“The boss told us he needed men before the game and I think all the lads showed character and personality. It was a shame we didn’t win the game, but it is not easy to play at Stoke.”