Suppose you are going to indicate that you are not able to remember a specific name, thing, address etc. at the time being; which one of the following self-made sentences doesn't sound natural to you:
- I can’t remember it right now.
- I can’t recall it right now.
- It’s not coming to my mind right now.
- It doesn’t come back to my mind right now.
For me, just the last two sentences sound a bit odd.
As far as I've heard, the verb "come to mind" refers to your 'own' mind only and consequently, the "one's" mind sounds a bit odd / redundant. Meanwhile, using 'back' seems to be something translated from another language, while to my experience, natives tend to use this structure without it. "Come to mind" and "come to me" are the expression which would work better here.