Britons Heather Watson and Tara Moore both suffered first-round defeats at the WTA event in Eastbourne on Monday.
British number two and world number 50 Watson, 23, lost 6-2 6-3 to Russian Elena Vesnina, ranked 53.
She was broken in the sixth game of the first set and then the eighth game of the second in gusty conditions.
British number four Moore, also 23, failed to convert five set points in the first set before losing 7-5 6-4 to Ekaterina Makarova of Russia.
The world number 229 led 5-3 in the opener before Makarova fought back to take the set and then the second after breaking in the fifth game.