LONDON (Reuters) - Britain’s blue-chip shares index fell for the third day in a row on Monday but outperformed other European bourses, as widespread unease about the country’s looming European Union membership vote weighed on markets.

A worker shelters from the rain as he passes the London Stock Exchange in the City of London at lunchtime October 1, 2008. REUTERS/Toby Melville/File Photo

The blue-chip FTSE 100 index .FTSE closed down 1.2 percent at 6,044.97 points.

This was less than falls of 1.8 percent on Germany's DAX .GDAXI and on the pan-European STOXX 600 index .STOXX, as two leading banks stayed "overweight" on UK equities.

While the FTSE is down 3 percent this month, it is still some 10 percent above its earlier 2016 low point reached back in February.

Both Deutsche Bank and JP Morgan argued that the UK market could outperform Europe if Britain did vote to leave the EU in its June 23 referendum next week, as UK shares would be propped up by a fall in sterling.

A drop in the pound would make British shares more affordable for overseas investors, and also benefit many of the internationally-focused companies that dominate the FTSE 100.

That view was echoed by Marino Valensise, Head of Multi-Asset & Income at Baring Asset Management.

“We would expect sterling to weaken in case of Brexit and multinational company shares to perform better than domestic ones,” he said.

The FTSE 100 index has outperformed Europe so far in 2016. The FTSE is down 3 percent while the pan-European FTSEurofirst 300 .FTEU3 and STOXX 600 indexes have fallen some 10 percent.

Among mid-cap stocks, G4S GFS.L dropped 5 percent in the wake of Sunday's fatal Orlando nightclub shootings, carried out by one of the global security company's employees.

While the majority of investors still expect next week’s in/out vote to result in Britain deciding to stay in the EU, opinion polls remain divided.

According to betting odds, the chances that Britain will vote to leave the EU increased sharply on Monday to 36 percent, the highest level since the referendum was announced by Prime Minister David Cameron four months ago.

“We see further volatility as we approach the referendum,” said Roger Mitchell, head of dealing at Cornhill Capital.