The Blaugrana twice took the lead at Parc des Princes but were pegged back on both occasions, eventually settling for a 2-2 draw.
"The way the game unfolded, we could have hoped for a better result," Alves told UEFA.com. "This is still a good result for us, especially as we were playing away from home.
"At this stage of the competition, all the teams are very strong, so we were expecting a tough game. PSG have top quality players and they showed that."
Barcelona will host the second leg of the tie at Camp Nou next week.