The Greens and Labor have started a series of meetings to sort out the details of a Tasmanian minority government.
Premier David Bartlett and two Labor ministers were sworn in on Tuesday, but Mr Bartlett advised Governor Peter Underwood the full cabinet would not be sworn in until next week.
The March 20 election delivered a hung parliament, with Labor and the Liberals each winning 10 lower house seats and the Greens claiming the remaining five.
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Non-party members in cabinet
The Parliamentary Labor Party on Monday agreed to allow non-party members into the new cabinet for the first time in Tasmanian history, after the Greens had pledged their conditional support for the Labor Party.
Mr Bartlett and Greens leader Nick McKim had the first of a series of meetings in Hobart on Wednesday morning.
Mr McKim described the first talks as productive, but said no offers of cabinet positions were made.
"It was a general discussion about how our conversation might evolve over the next few days," he told reporters in Hobart.
'Positive meeting'
"It was a good meeting and a positive meeting."
Mr McKim has said he prefers the Western Australia model of minority government, where Nationals members are part of the cabinet, but not obliged to vote with the government on the floor of the lower house.
"I think that the Western Australian model is working well for both sides in WA," he said on Tuesday.
On the other hand, Mr Bartlett said he prefers the South Australian example, where a Labor government had a National Party water minister, who was bound to vote with Labor.
"If you want to be sent in a direction to see what something like this might look like, that's a reasonable direction to go in," Mr Bartlett said.
Hidding nominated
Sidelined Liberal leader Will Hodgman put forward Rene Hidding as his party's candidate for the position of speaker in the new Parliament.
"If Mr McKim and Mr Bartlett are serious about ensuring this parliament will work in a more co-operative fashion... then they will embrace this nomination," Mr Hodgman told reporters in Hobart on Wednesday.
"We believe Mr Hidding is eminently qualified for this important role."
