I have a Prana mat and sometimes have the same problem. Their website says to spray down with an essential oil blend, and use it within about 20 minutes, while it's still damp. This seems to work great. And, honestly, I don't always use it damp and it seems that the essential oil blend helps to keep it a bit grippier in general.
I used (in a spray bottle):
30 drops tea tree, cup of water, and 1/4 cup witch hazel, shaken up
Added combination (40 drops total) of rosemary, lavender, lemongrass, and bergamot. Then shook it all up again.
Their website says to mix each combo separately but I didn't do that, I just poured it all into a bottle and shook it up. I added the bergamot just because I love it.
So far so good.
**Edit: reading comprehension fail. Well anyway, you can use this blend on your new mat.