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By The Associated Press

REYKJAVIK, Iceland — Iceland's president on Tuesday refused a request from the prime minister to dissolve parliament and call a new election amid a dispute over the premier's offshore tax affairs.

Embattled Prime Minister Sigmunder David Gunlaugsson is facing growing calls to step down because of reported offshore financial dealings — detailed in the so-called "Panama Papers" — by him and his wife that opposition lawmakers say show a massive conflict of interest with his job.

Iceland's PM arrives at the official resident of the Iceland President in Reykjavik Tuesday.SIGTRYGGUR JOHANNSSON / Reuters

Thousands of Icelanders protested outside parliament on Monday demanding that Gunlaugsson resign, and a similar protest is planned for Tuesday evening. The prime minister will meet with parliament in a session Wednesday that is sure to be dominated by the topic.

Related: Why Are the 'Panama Papers' Important?

President Olafur Ragnar Grimsson, however, said he wants to consult with other party leaders first before agreeing to end the coalition government between Gunlaugsson's center-right Progressive Party and the Independence Party.

"I need to determine if there is support for dissolving (parliament) within the ruling coalition and others. The prime minister could not confirm this for me, and therefore I am not prepared at this time to dissolve parliament," Grimsson said.

He said he plans to meet with the government's coalition partner "in a few hours" to discuss the crisis.

Related: Panama Rejects Money-Launder Label Following Leak

Leaked financial documents allege that the prime minister and his wife set up a company in the British Virgin Islands with the help of a Panamanian law firm. Gunlaugsson is accused of a conflict of interest for failing to disclose his involvement in the company, which held interests in failed Icelandic banks that his government was responsible for overseeing.

He has denied any wrongdoing.