No one said anything about a vessel. Why should there be one? If I send up a bomb and explode it in space to make a bang, there is no need for a container.
You might argue that there is no bang either, not in space anyway, but you would be wrong. There would be a bang within the expanding gas at least, and at any collision between the expanding gas and anything it impinges on.
Whether it is possible to give a fair answer in those terms however, is another matter. In at least some views of the BB, space got created as the BB proceeded. This was related to some weird effects, such as that the early explosion of the universe happened faster than the speed of light, in some perspectives.
From that point of view "Where" got created where and "When" got created when "What" appeared. Whether these coordinates had any further dimensions to define them, or whether there was a where for where to form in when when got created so that what could happen.
What there was before that and outside that and without that, I am afraid I couldn't tell you.
well, according to m-theory, there are multiverse ie., several universes. these universes are like the bubbles in water. they move, collide, form new universes & expand. expand? and this is what you want to get. actually, these universes expand as bubbles in the water expand. from my viewpoint, i think that they expand in space like bubbles. then, sometimes, they expand to such extend that they collide with other universes & this is the fate of universe. by these, a new kind of universe generate & this is the bigbang in that universe. again, expand & the whole process went on.