For a simple attempt:
leave your circuit as it is and place a resistor from its output to the neutral line. This should divert the snubbers leakage from the LED lamp.
In other words: Put that resistor (for example 22k, 3W, 250V rated) across the lamp. That should stop the flashing for the price of significant power dissipation in that resistor (you do not want that, but it is a quick fix).
For a better attempt:
change the values of the 100n caps (C9, C4) in your circuit to 10n. These cause the leakage that causes the LED lamp to flash. If the LED is still flashing, put a 100k Resistor across the lamp. This way you'll have less power dissipation and smaller components, but you need to check if the snubber is still effective enough.