Cause of several more blazes during brief April heatwave is still unknown, say landowners.
Surrey Fire and Rescue Service says the blaze on land north of Guildford was "under control".
Fire breaks can help prevent the spread of flames by depriving a blaze of flammable material.
Crews have dealt with the blaze at Blackstone Edge and have left the scene, the fire service says.
The weather warning, issued by the Natural Hazards Partnership, is in place until Saturday.
The wildfires are located at Blackstone Edge and Marsden Clough on Marsden Moor.
Images taken in the mountains by the Scottish Avalanche Information Service.
Scotland's Spring weather proves unpredictable as the country experiences snow and sunshine in two days.
Know the signs and what to do if someone is unwell in hot weather.