* Main parties bidding for outright parliamentary majority
* Voting extended by one hour due to low turnout
* Election seen as gauge of democratic credentials
* Next government faces judicial reforms targeting graft (Updates with election commission decision to extend voting)
TIRANA, June 25 (Reuters) - Albanians voted in a parliamentary election on Sunday with the ruling Socialists and rival Democrats seeking a majority to push through judicial reforms vital for membership of the European Union.
The race pits Socialist Prime Minister Edi Rama against the centre-right Democratic Party of Lulzim Basha. Neither party won the 70 seats needed for a majority in the 2013 or 2009 election.
The state election commission extended voting by an hour to 1800 GMT due to low turnout, on a day when temperatures reached as high as 39 degrees Celsius, making it the hottest so far this year. The first exit polls are expected from around 1815 GMT and the first official results are due on Monday.
As of 4 pm on Sunday, turnout stood at just 35.67 percent, lower than in previous elections.
Thousands of Muslims, who make up 60 percent of the population, recited prayers in the newly-built pedestrian square in central Tirana early on Sunday to mark the end of the holy month of Ramadan.
The vote is being closely watched by Albania's European neighbours, keen for it to leave behind a history of election irregularities and violence.
"I expect a radical change, a better future for the Albanians so they dont emigrate throughout the world," Tirana resident Petrit Sulo said after casting his ballot.
Campaigning has been mainly peaceful after a pact by the two main rivals that sought to guarantee a trouble-free election.
Both main parties want to ditch the Socialist Integration Movement (SIM) of president-elect Ilir Meta, which gained the role of king-maker by propping up their respective governments for the last eight years.
The Interior Ministry said in a statement hundreds of cases of vote buying and intimidation of voters had been reported, but did not give more details on the political parties involved in those incidents.
'FACADES AND PALM TREES'
Opinion polls give Rama's Socialists the edge over the Democrats, but it is not clear whether he will be able to garner enough support to win an outright majority.
The two frontrunners have said they will jointly ask the EU to advance towards accession. They have not said whether they might rule together in coalition.
Since taking office, the Socialists have improved tax collection and boosted the performance of the electricity sector. Economic growth accelerated to 3.45 percent last year, compared with 0.97 percent in 2013.
But they failed to fulfil promises to create 300,000 new jobs and secure free health care for everyone aged over 40. The country's international reputation was tarnished by data showing Albania had become Europe's biggest open-air cannabis producer.
Basha, a foreign-educated former transport and interior minister, accuses Rama of glossing over Albania's problems with "facades and palm trees" and says he has neglected the economy.
Implementing a sweeping judicial reform aimed at rooting out widespread graft will be a priority for the next government as it seeks progress towards joining the European Union.
"This is the chance to do something to change the country. It is a hot day but it is the day when you decide for the next four years for yourself and your families," Basha said after casting his vote.
Rama said last month Albania could get a green light for formal EU talks to start at the end of this year. (Reporting by Benet Koleka and Ivana Sekularac. Editing by Jane Merriman and Gareth Jones)