The home side were level in the 16th minute, however, when Messi worked his way into the Huesca box before finding the bottom corner via the inside of the post.
We started the game asleep before Huesca, but the goal helped us to react.
Lionel Messi scores the sixth goal for Barcelona in their La Liga fixture against Huesca at Nou Camp.
Barcelona are leaders of LaLiga after three games with their superior goal difference.
After Huesca's shock lead, Messi, Jorge Pulido's own goal and Suarez put Barca 3-1 up, but the visitors hit back again through Alex Gallar. "You can't make mistakes as everything is so controlled". Suarez got Barca's final score with a stoppage time penalty kick.
The route was inevitable, with Messi completing his brace on 61 minutes after being sent one-on-one with Werner by Coutinho to finish into the bottom corner.
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Veteran forward Joaquin Sanchez went on as a late substitute and headed Real Betis to its first home win over crosstown rival Sevilla since 2006.
Meanwhile, Barcelona legend Ronaldinho thinks the club should retire his old No 10 shirt when Messi calls it a day.
Sanchez had missed the first two games of the season due to injury after having an excellent campaign in 2017-18.
"Being top is always important, but we've only just begun".
But three matches into the season and Marcelino Garcia's team has yet to win.
Valencia are still without a win this season after being held to a 2-2 draw at neighbours Levante and Alaves came from behind to beat visiting Espanyol.
The Uruguay global made it 3-1 six minutes before-half time but it was not immediately awarded as the video assistant referee reviewed Jordi Alba's cross to Suarez.