b80 308 GTSI having hard time starting after it has been running and then sitting

If I run car for a while and then let it sit for 1hr + I have to crank the ignition 3-4 times and give it gas to get it to start. Starts immediately when cold and if only sitting for 15 minutes or so after running it will also start immediately. Has anyone else had this problem and could the fuel filter be the issues? Thanks Ed

Probably the accumulator.

Besides the accumulator there is a check valve in the fuel pump that is known to go bad and cause problems simular to the ones you descibe.

When problems with the CIS FI systems are suspected, other than mixure adjustments, a Fuel System Pressure Test is in order to help with diagnoisis.