In reply to Postmanpat:
Reconvene originates from the Latin prefix re (meaning to do something again), and convenire (to meet, gather, muster, get together). Etymologically, you are correct - you're getting together again, not necessarily referring to a specific meeting that didn't happen, but more generally in the longer scheme of things.
In terms of normal English practice, he may have a point.
As others have suggested, cutting the Gordian knot by using another word, may be the best option!
Post edited at 11:33