I recently had my 250SL re-tuned because it was emitting a lot of black exhaust. But I think, the re-tuning is still slightly off. could someone tell me what a suitable range of revs should be?

Currently, the tachometer shows 1300 when the engine is cold and approximately 750-800 once warmed up. However, this takes about 5 minutes which I think is odd considering I live in the tropics - constant temperature of 28-34C.

This is about right.

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Benzmac:
ASE CERTIFIED MASTER AUTO TECHNICIAN
SERVICE MANAGER FOR 14 BAY FACILITY
MERCEDES SPECIALIST 8 YRS
PARTNER IN MERCEDESSHOP.COM

You might want to get you car checked out by a proper certified mechanic as I have a simillar car as yours but it does not seem to have the same problem. Perhaps the enjine oil yu're using may not suit the car.