Sorry for the delay, but it can help anyone else.
No. No need of a snubber with a snubberless Triac.
The definition of a snubber is a R-C circuit in parrallel of the device to help it to be properly turned off.
The Snubberless technology by ST allows to have devices with a strong turn-off commutation performance (see dI/dtc parameter, and whatever the dV/dt reppalied to the device).
I can advice you to read the application note AN 439 "Snubberless™ and logic level TRIAC behavior at turn-off" for more information.
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