The mood in Thailand was reportedly tense as the coalition met
Thailand's political parties are meeting to discuss who should replace Prime Minister Samak Sundaravej, a day after he was stripped of office.
Mr Samak has not been seen since the Constitutional Court ruled he broke the law by appearing on a TV cookery show.
Parliament is due to elect 73-year-old Mr Samak's successor on Friday.
His People Power Party (PPP), the biggest in the six-member coalition, appeared to back away from an earlier pledge to re-nominate him as PM.
"What the party spokesman said yesterday was not the party's resolution. Our resolution is the next prime minister must come from the People Power Party," Reuters news agency quoted finance minister and PPP secretary general Surapong Suebwonglee as saying.
'Fuel the fire'
Now that the dust has settled after the Constitutional Court's astonishing decision on Tuesday, the bargaining has begun, according to the BBC correspondent in Bangkok, Jonathan Head.
Party factions have been holding meetings throughout the day; some have been in contact with the exiled former Prime Minister Thaksin Shinawatra, who is still influential because of his continued financial support.
26 Aug: Protesters occupy government buildings, demand the government step down
28 Aug: PM Samak promises no use of force against the protesters
30 Aug: Samak rules out resignation, after meeting with Thailand's king
1 Sept: A late-night clash between pro- and anti-government groups leaves one dead. Samak declares a state of emergency
4 Sept: Samak proposes a national referendum
9 Sept: Court orders Samak to resign for violating constitution
The PPP insists any replacement for Mr Samak must come from within its ranks, but its coalition partners are angling to get one of their own into the seat.
The second-largest of the partners, the Chart Thai Party, said the PPP should not re-nominate Mr Samak.
But Chart Thai's leader, Banharn Silpa-Archa - whose premiership a decade ago was widely blamed for a currency collapse that triggered an Asian economic crisis - told Reuters he had ruled himself out.
The opposition Democrats are proposing a new government of national unity as the best way out of the crisis - with the clear hint that their party leader should get the job.
'Abuse of power'
For the past two weeks, the Thai government has been paralysed by thousands of protesters who have occupied its headquarters, demanding Mr Samak quit.
They accuse him of being a proxy for Mr Thaksin, who was ousted in an army coup in 2006 amid accusations of corruption and abuse of power.
Protesters are still laying siege to Government House
The demonstrators said they would continue to besiege Government House while waiting to see who parliament selects as the new prime minister.
They have already warned that they will continue their protests if Mr Samak or anyone else closely associated with Mr Thaksin is chosen.
The caretaker administration has anticipated the continued protests by proposing that ministers move their offices to the old international airport.
Deputy PPP leader Somchai Wongsawat is acting as a caretaker prime minister until the new premier is named.
Correspondents say his new role could fan Thailand's political flames as he is the brother-in-law of Mr Thaksin.