Yes, there will be plenty of football matches in Puglia. Every town, city, village has a team.
The question for you is what standard / level of football do you want to watch?
Currently, there are no Serie A teams in Puglia. (The nearest Serie A team is Napoli.)
Bari are the sole Pugliese team in Serie B this season. Along with Hellas verona they are possibly the biggest team in Serie B and have good attendance - for Italian second tier football.
Serie B fixtures here:
The 3rd tier of professional football is the Lega Pro. A number of Pugliese teams play in the regional C division:
Below the Lega Pro are the semi-professional / amateur divisions.
You're bound to find a game.
BIUcello 1927. Many thanks for that.