Poll: I tried ____ to her, but she wasn't persuaded and refused.

Diana M. Seva

I think it's " to talk" the right answer.

John H. Harris

Surely 'talking' and 'to talk' are both acceptable

Donal Power

"Talking" and "to talk" are both good to use.

Statuess

I'd say 'talking' in this case. There is a difference between 'tried talking' (sounds as if you talked, but couldn't come to an agreement) and 'tried to talk' (you wanted to talk to her, but she avoided/blanked you).