The Big Bang is an ambiguous term (and many answers here take one or another definition of the term). It can refer to the standard cosmological theory (as in the Big Bang Theory) that the Universe started in a hotter, denser state, and gradually expanded and cooled. The "beginning" of the phase of the Universe's history that we call the "standard cosmological theory" is up for debate. Some people will put the boundary at the earliest point we have solid observational evidence (called "Big Bang nucleosynthesis"). Under this definition, "before the Big Bang" would include speculative processes like inflation, where (if it is true) the Universe would have gone through a phase of exponential expansion.
However, I think you are interested in the Big Bang Singularity, which is a common feature of many cosmological solutions within General Relativity. If you wind back the clock far enough in our current cosmological theories, you will find that in a finite amount of time, the Universe becomes infinitely dense. Now, it is normally assumed that "for some reason" the Universe doesn't actually become infinitely dense, and this is a pitfall of General Relativity. However, know one knows what does happen instead, or why, or what theory we should use to answer such a question.
Your question presupposes one possible resolution to the Big Bang Singularity. Namely, that a complete theory would describe some time before what we think of as the singularity. This is an assumption you have baked into your question. It is not known whether that is what occurs; it could be that there really is some moment of creation that occurs and there is nothing "before." A famous example of a theory like this is the Hartle-Hawking "no-boundary" proposal.
Having said that, are (speculative, not empirically confirmed, not universally accepted) theories that do consider a time before the singularity predicted by General Relativity. Here are three examples:
- Eternal inflation, which states that the Universe is much, much larger than what we observe. Our little patch of the Universe started expanding as a kind of "bubble" and effectively became disconnected from the larger whole at some time in the past. In this framework, the "Big Bang singularity" is replaced our patch joining into a much larger, "eternally inflating" spacetime.
- Bouncing Universes, which suppose that there was a Universe "before" our Universe, that underwent a collapse, then a "bounce", and is now expanding into our Universe. The Big Bang singularity here is replaced by the bounce.
- Roger Penrose's Cyclic Conformal Cosmology, which states that the far future of our Universe will join onto the far past of a future Universe in a subtle, smooth way using conformal symmetry; and similarly the far past of our Universe emerges from the remnants of an even older Universe. In this scenario, the Big Bang singularity never happens, and is replaced by this "joining" onto a past Universe. I should say (like most cosmological ideas going this far back) this idea is extremely speculative.
All of this is extremely speculative. It is not really a branch of physics that studies this question, but certain speculative sub-branches of theoretical cosmology study theories that would answer your question if they were true. However, we don't really know if your question even makes sense. It could well be that time and space themselves break down at what we think of as the singularity, and there is no clear notion of what "before" that time even means (rather like asking what takes place "inside" of the singularity of a black hole).