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London's benchmark FTSE 100 index climbed 0.3 percent to 7,247.97 points compared with the close on Friday.
In the eurozone, Frankfurt's DAX 30 index open flat at 11,685.54 points and the Paris CAC 40 was unchanged at 5,403.54.
British leader Theresa May's government has warned that it may not hold a planned Brexit vote this week unless it feels it can secure a win that avoids a lengthy delay to pulling out of the EU.