BRATISLAVA (Reuters) - The Slovak parliament failed to elect a new president on Friday moving the country to the brink of a constitutional crisis. Neither of the two opposition candidates contesting the first round picked up the necessary three-fifths majority and a new round of voting must be held within 30 days. Parliamentary chairman Ivan Gašparovič did not set a date for a second round. Incumbent Michal Kováč's term expires on March 2, and with no political grouping strong enough to cross the three-fifths threshold, Kováč has acknowledged the liklehood of his country living through a period with no president. The coalition government, led by Prime Minster Vladimír Mečiar, did not field a candidate and senior ministers were not even present at the vote. Friday's vote was the conclusion of the first round which began last week. It was fought out between Štefan Markuš of the Slovak Democratic Coalition (SDK) and Juraj Hraško of the Party of the Democratic Left (SDL). Markuš got 37 votes, with 80 against and 12 abstentions while Hraško obtained 24 votes for, 64 against and 412 absentions. The candidates would have needed 90 or more out of 150 votes to win outright Under the constitution, some powers would pass to the prime minister if no president is elected in time, but the power to sign laws, appoint ministers and accept the resignation of a government would be left in limbo. An infinite number of new rounds of voting could take place until a candidate with a three-fifths majority is found. With parliamentary elections scheduled for September, no new government can be formed until the president has accepted the resignation of the old one. Kováč is on a trip to Japan.