To press the decline (or ignore) button on your cell phone thus rejecting an incomming phone call even when it's after 9, a weekend or you aint doing something THAT important.
Extra points if you're basil-ing some one who considers you a friend, your pal is in great need or you're doing it while the person is watching from a distance.
1)In da hood
guy1: yo what's hood son? did t-mack call you, he said you and him was gon' talk 'bout some bidness
guy2: yea nicca, he did call but i basil'd his ass
guy1: word?
guy2: brrrrrrr

2)Somewhere in the fine county of England
guy1: Well good evening sir, fancy some tea?
guy2: yes indeed, mate, do you mind if I include Sir Taylor in our gathering?
guy1: No, but I reckon he will basil you
guy2: brrrrrr
by the IE prince October 8, 2005
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To aggressively shove an internal organ into an object
Owen really Basil'd his pillow last night, it was such a Basil...
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