ACT Party leader David Seymour says having the second-largest government party with the second-biggest role makes sense - but it's still up for negotiation.
National leader and incoming Prime Minister Christopher Luxon has continued to hold coalition talks in Auckland on Tuesday, hosting Seymour at his home.
Discussions are now focused on ministerial responsibilities and Cabinet positions in an arrangement likely to a be a three-party coalition.
The negotiating is likely to be centred on key positions like Deputy Prime Minister, Foreign Ministers and Attorney-General, and the level of influence in crucial portfolios like Finance.
Seymour, leaving the meeting shortly before midday, was asked if he wanted the position of Deputy Prime Minister.
"I think there's a very clear agenda that the ACT Party is the second-largest party in the government and if there's a second role in the government that should go to the second party," he said.
"But having said that, a negotiation's a negotiation, and you never know your luck."
Luxon on Monday said all three parties had agreed a policy platform, with ACT and New Zealand First now agreeing on one another's deals with National.