Goals have been in short supply for Southampton - Boufal's wonder-strike was their eighth of the season - but Pellegrino said he was happy with the team's style of play.
"In football in the Premier League you have to fight for every single point," the Argentine manager said.
"We play a very difficult team and to beat them you have to do a lot of things. I am happy with how we play and we have to continue," he added.
"To sustain and to win games you have to play well. You have to play better than the opponent... this is our job and I will repeat that the attitude of the players is right, is good."
Southampton, who are 10th in the league with 12 points from nine games, travel to 12th-placed Brighton and Hove Albion in the league on Sunday.
(Reporting by Shrivathsa Sridhar in Bengaluru; editing by Sudipto Ganguly)
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