B737-800
Flight Crew Last 90 Days 119; Flight Crew Type 9000
Communication Breakdown; Confusion; Situational Awareness
Deviation / Discrepancy - Procedural Published Material / Policy; Ground Event / Encounter Vehicle
Aircraft Aircraft Damaged; General Maintenance Action
Procedure; Human Factors; Airport
During taxi in to Gate at Airport; I followed the lead-in line which branched off the taxiway. We cleared the safety zone as we approached the gate.The fuel truck was just outside the right side of the safety zone.  There was a Company Ground person standing next to the truck. The Marshaler was signaling that we were on the taxi line and approaching the stop bar. As I brought the aircraft to a stop; my Check Airman said 'STOP'. He then informed me that our winglet had contacted the fuel truck.
Taxiing in to Gate; the (PF) was taxiing on the yellow line; I was PM in the right seat. We cleared the safety zone as we approached the gate. The fuel truck was just outside the right side of the safety zone. There was a Company ground person standing next to the truck. I looked back out the front to check how the PF was taxiing and we were on the taxi line; and the Marshaler was signaling that we were on the taxi line and approaching the stop bar. I then looked back just as the winglet hit the top of the fuel truck and the Company ground person signaled stop. I said 'stop' to the PF and he was stopping at that time.
While taxiing to the gate with guidance from ground personnel the flight crew reported that the aircraft wingtip struck a ground vehicle