We had a similar experience in a small town in the interior. Clipped a taxi who was coming towards us, swerved to our side of the street and parked a foot from the curb. Trying to avoid the oncoming truck behind him I side swiped the taxi. What could I say? He was parked, I was moving.
A transito happened to be on the spot. I asked what the driver thought the dammage was. The transito mentioned 2 or 3 hundred pesos, the taxixta wasn't really happy with that. I suggested that I could call my insurance. The transito saud Yes, I could, then pointed out to the poor taxista that he would have to stay until both our adjusters arrived. The taxista had a customer waiting, which is why he pulled in where he did. (Never mind that it was a stupid move and he would have been ticketed NOB I asked if 500 pesos would be OK and he accepted it and we went on our way. (More or less but that is a different story!
Scroll down to Mazamitla to Coyutlan)
In Mexico, in a non injury accident, the police will not get involved if both parties agree on a financial settlement. This is what we have insurance for. In our case, I offered our deductible which appeared to be satisfactory.