(For a Reuters live blog on U.S., UK and European stock markets, click LIVE/ or type LIVE/ in a news window) Feb 4 (Reuters) - European shares were flat on Thursday after a three-day rally on hopes of a swifter global economic recovery and an upbeat sentiment in Italy as former European Central Bank chief Mario Draghi took on the task of forming a new government. The STOXX 600 index was flat in early trading, while Milan’s FTSE MIB index fell 0.2%. Markets remained hopeful after Democrats pushed ahead on Wednesday with a maneuver to pass U.S. President Joe Biden’s $1.9 trillion COVID-19 relief package without Republican support. Among early gainers, Bayer AG jumped 5.5% after the German company struck a $2 billion deal to resolve future legal claims that its widely used weedkiller Roundup causes cancer. Deutsche Bank’s shares rose 0.6% after the German lender swung to a small annual profit in 2020, its first since 2014, on the back of strong gains at its investment banking division. The European blue-chip index fell 0.2%, while the euro zone blue-chip index rose 0.1%. (Reporting by Shreyashi Sanyal in Bengaluru; Editing by Shounak Dasgupta)