A defeat had largely been priced in already, though its magnitude came as a surprise.
Analysts and investors interpreted the outcome as a positive for the market, making a "softer, later" Brexit more likely, but uncertainty ahead of a no confidence vote in May's government on Wednesday evening kept trading muted.
The FTSE 100 was down 0.3 percent by 0825 GMT while euro zone stocks climbed 0.2 percent.
The top British index was dragged down by multinational exporter stocks like Unilever and Diageo, which make the lion's share of their earnings in foreign currencies and were bruised by sterling rising.
Bank shares were the biggest boost to European indexes as investors bet that a disruptive no-deal Brexit was less likely after the parliamentary vote.
On the corporate front, results and dealmaking news drove moves with stocks shrugging off the political developments of the night.
The bid, at 170 Swiss francs per share, represents a 24 percent premium to Panalpina's closing price on Tuesday, and shares in the Swiss firm jumped 25.8 percent following it.
Pearson shares tumbled 5.2 percent, the biggest STOXX fallers, after the British education publisher said it expects one-off restructuring costs to rise to around 330 million pounds, ahead of its original 300 million pound plan.
Reckitt Benckiser shares fell 2.3 percent after the maker of Durex condoms and Enfamil infant formula said its CEO Rakesh Kapoor would retire by the end of this year.
Norwegian aluminium maker Norsk Hydro rose 4.7 percent after it said Brazil's northern state of Para lifted a production embargo on its Alunorte alumina refinery. (Reporting by Helen Reid, editing by Danilo Masoni)