Ms Angkana Namrob, a customer, has been reported missing. An earlier report said a staff member, Ta Choodam, was also missing. Ms Ta has since been located, an official said.
Officials at the support and information centre today wrote Ms Angkana's name on a board at the Phuket Provincial Hall, after she were reported missing by family or friends.
An official at the scene told The Phuket News that rescue teams had to wait for a forensic team from Surat Thani to arrive before they entered the site. They were expected to arrive later today.
Officials said the fire is under control, but the building is still on fire and explosions can still be heard.
The fire started around 9.40pm last night.