1999 Volvo V70XC AWD... Front Grill Style Part?

You're going to have a hard time finding a name that anyone will recognize. The warranty book calls it a "cover bumper", and the parts book probably something else entirely. Your best bet is to go to the Dealer and have them show you a picture and point and say, "That's it", or just explain it like you did in your question. If you have the old one on either side, get the part # off it, that may help too.