TheFork users who ate in Pordenone have said really good things about Borgo13, Sostansa - Racconti In Cucina and Carpe Diem Srl. Maybe you should give them a try!
Some of the more popular Contemporary cuisine restaurants that offer vegetarian options on their menu in Pordenone according to TheFork users include:
Borgo13, with a 8.9 rating
Sostansa - Racconti In Cucina, with a 9.7 rating
Carpe Diem Srl, with a 8.8 rating