Hungary's government considers questions related to MOL "matters of extraordinary importance" and believes the oil and gas company must preserve its contractual rights, the Government Spokesman's Office said in a statement on Wednesday.
"The government takes the firm stand that MOL must preserve all rights - for example management rights - originating from its contracts," the statement said.
The statement was issued amid reports of tension between the Hungarian and Croatian members of MOL's Croatian unit INA.
MOL holds a little less than 50% of INA, slightly more than the stake held by the Croatian government.
At a conference on Tuesday, Prime Minister Viktor Orbán said MOL continued to be treated in an undignified manner in Croatia and warned of the potential political impact of such a business dispute.
The state of Hungary holds 24.6% of MOL.