i would agree with skale.. the enviroment would play a role in whoever would claim defeat i think! from my comic reading experiences... i think the only person who came the closest to fuckin wolvie seriously was magneto... he use his shit to rip the adamantium out of his body!! or some shit like that... other than that tho.. hes pretty much undefeatable!!
i had a tactic tho spidey could employ... perhaps use his webs to sling his arms up so wolverine cant use them. then somehow spin his whole body up like a real spider does to insects.. then simply toss his ass into a lake or river or whatever to just suffocate him!! suffocation would have to be the way....

personally i like wolverine way way more... but thats just an idea.