As I had a new one fitted last year, due to an accident (hence needing three now), I know what happens...
Picked the car up from the repairers, went out, started it, TPMS light promptly came on. Went back in, their engineer said it needed resetting. He did that, but it came on again after about 5 miles. So I reset it myself (procedure is in the manual). Did it again about 20 miles later and again about 50 miles after that. It hasn't lit up since, so I assume it takes a while to settle itself.
I must remember to look up how those systems work...