The trio spearheaded the front-line in the 3-0 trouncnf of Eibar in Saturday’s earlier kickoff in LaLiga.
Griezmann has adapted well to the Catalans following his high profile arrival from Atletico Madrid while Messi and Suarez have had a disruptive start to the campaign due to injuries.
The early promises between the trio has given Griezmann optimism that a successful partnership is in the offing in the not too distant future.
"Of course there will be good days and bad. But today was a good performance and I am pleased,” Griezmann told football-espana.
"I am still adjusting to playing here, and that will take time.
"We need to get to understand each other even better, but I am confident that will come with more minutes and games together."
Barca also ended the weekend at the top of the table after leapfrogging Real Madrid, who succumbed to a 1-0 loss away to RCD Mallorca later in the day.