The pan-European STOXX 600 index (STOXX) rose 0.2% by 0718 GMT, after closing out its best quarterly gains since March 2015 in the previous session.
The German DAX (GDAXI) gained 0.7% as data showed retail sales rose sharply in May, reflecting a rebound in private consumption after the country lifted coronavirus-inflicted restrictions.
Drugs and pesticides maker Bayer (DE:BAYGn) jumped 3.4%, providing the biggest boost.
German unemployment and U.S. manufacturing activity and private jobs data are all due later in the session.
A cautious tone prevailed across the global markets, as the United States on Tuesday recorded its biggest single-day spike since the pandemic began, dimming hopes that the economic pain had passed.
Swiss specialty chemicals maker Clariant (S:CLN) gained 6.9% as it completed the $1.6 billion sale of its masterbatches unit to PolyOne Corp (N:POL), allowing the payment of a special dividend amounting to $3 per share.