
They are dissatisfied with Korbsak's "strictness" in the allocation of state budget to projects overseen by Cabinet members from the smaller coalition parties.
Kasit's appointment to the Cabinet despite his role in last year's protest, which involved seizure of Bangkok's two airports, raised eyebrows among coalition leaders at the time, the sources said.
Korbsak said yesterday that it would depend on the prime minister whether he fell foul of a Cabinet reshuffle.
Abhisit met leaders from other coalition parties on Friday at the house of his secretary-general Nipon Prombhand in the Lat Phrao area.
Nipon was injured when angry red-shirt protesters assaulted him at the Interior Ministry.
Nipon is likely to ask to be replaced after the incident, according to one government source.
He is expected to be replaced by Democrat MP Sirichok Sopha.
The coalition leaders agreed to the need for constitutional amendment, particularly of certain problematic clauses at the centre of the political conflict that culminated in last week's riot in the capital, according to the source.
They also agreed to the idea of an amnesty for people facing legal complications due to their involvement in the political conflict, on condition that they have not been convicted in a criminal case.