"There is no common offer from the Alliance to create a new coalition with the Greens," said Green Party co-chair Peter Eriksson.

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Sweden's opposition Greens said Monday Prime Minister Fredrik Reinfeldt had not offered them a spot in his cabinet to create a majority and would instead continue to govern with his minority centre-right Alliance.

"There is no common offer from the Alliance to create a new coalition with the Greens," Green Party co-chair Peter Eriksson told reporters in Stockholm, adding Reinfeldt appeared intent "to continue on with his own coalition regardless the price and to govern with a minority."

A prime minister spokeswoman refused to comment on the information, saying only that the make-up of Reinfeldt's new government would be made clear when it is announced on October 5.

The prime minister's existing four-party coalition won most votes in September 19 general elections but fell two seats short of a majority of the 349 seats in parliament.

Reinfeldt has vowed not to cooperate with the far-right, anti-immigrant Sweden Democrats, who were voted into parliament for the first time, and has instead said he will seek support from the Greens to pass legislation.

Eriksson, who along with co-chair Maria Wetterstrand met with the prime minister Monday morning, reiterated that his party would not be a set government ally in parliament, as it has been with past minority Social Democrat governments.

However, he said the Greens would be "constructive" and cooperate with the government on several issues to help limit the influence of the Sweden Democrats.

Wetterstrand agreed.

"We think it is very important that the Sweden Democrats do not land in a kingmaker position when it comes to issues like asylum, immigration and integration," she said at the press conference.