An Air France Airbus A319-100, registration F-GRHR performing flight AF-1390 from Paris Charles de Gaulle (France) to Istanbul (Turkey), was enroute at FL370 over Austria about 85nm south of Munich (Germany) when the crew reported a possible fuel leak on the #1 engine (CFM56) and decided to divert to Munich, where the aircraft landed safely on runway 08R about 30 minutes later. A runway inspection did not report any fluids on the runway, the aircraft taxied to the apron with emergency services in trail.