The biggest thing you need to do is get the larger 'gobs' of glue off so that when you install the flooring there are no lumps. 3M makes an 'Adhesive and Glue' remover that you can buy at an autmotive paint store. That works the best.
We purchase from LonSeal in California. I'm at home and the numbers is at the factory. PM me to remind me and I will get it for you on Monday.
All you are going to use for glue is 3M contact cement. Again, at the automotive store, 3M part number 8090. It's contact cement. That means you spray it on both the floor and the pirelli, let it dry and then stick it down. My guess would be two cans. But a third just in case.
Good luck! Pat.