This follows the opposition's defeat of prime minister Manasseh Sogavare in Monday's vote of no-confidence.
The group which successfully moved the motion of no-confidence is basing its lobbying at the Honiara hotel.
Meanwhile the rump of Mr Sogavare's former government is based at the Heritage Park Hotel.
A member of this group, the MP for Nggela Bartholomew Parapalo, said they were not out of the race.