Apulia has many Golf courses.
On this site you find links to Golf Courses in Apulia.
The nearest places are:
Castellaneta Il Rivo dei Tessali
Martina Franca (2)
Often it will be possible, if you don’t play both, to find another nice destination or activity for your partner in the neighbourhood. After all Apulia has not only splendid golf courses to offer, but also lots of other possibilities and activities.