The pan-European STOXX 600 index was down 0.2 percent by 0723 GMT but on track for small weekly gains.
Rate-sensitive banks and financial services were among the top decliners, with investment group Ashmore Group falling 3.9 percent after its full-year results.
A private survey showed activity in China’s services sector contracted sharply in August as restrictions to curb the COVID-19 Delta variant threatened to derail the recovery.
Data later in the day is likely to show U.S. employment growth pulled back in August, adding to recent signs of economic slowdown that could spur the Fed to provide support for longer.
IHS Markit’s final readings of August business activity in the euro zone and the UK are also due later on Friday.