Approach with Drake so it doesn't aggro, surround in Stone Dinogateways to trap it. Kill a nearby creature and leave its corpse, aggro Basilisk by hopping off and remounting Drake, run away to de-aggro. Basi should aggro onto corpse we left. Toss eggs and tame, kill and leave a new corpse before the first expires, rinse and repeat as needed.

More Basilisk Taming & KO Tips