London — European shares slipped on Tuesday as investors awaited the first US presidential debate and eyed progress of a fiscal stimulus package in Washington.

The broader Euro Stoxx 600 fell 0.4%, eroding hefty gains from a day earlier, with indices in Frankfurt, Paris and London each losing between 0.4% and 0.5%. Among the sectors in negative territory were growth-sensitive banks, carmakers and travel and leisure, all down between 0.7% and 0.9%...