London's benchmark FTSE 100 index rose 0.1 percent to 7,529.30 points, compared with the closing level on Tuesday.
In the eurozone, Frankfurt's DAX 30 index fell 0.2 percent to 13,259.13 points and the Paris CAC 40 was flat at 5,967.79.
In foreign exchange, the pound eased further after falling sharply the day before as fears of a possible no-deal Brexit resurfaced.