The two leading candidates are Bamir Topi who is the nominee of the ruling Democratic Party, and Fatos Nano who has the support of some members of the Socialist Party, which he once led, but not of current leader, Edi Rama.
To win, one candidate must get the support of three-fifths of the members of parliament. The problem is that no one party or coalition can reach that target without outside support. If no candidate can get that support after the process is completed then, under the constitution, there has to be a general election.
Previously the Socialists had considered boycotting the election in order to force early elections. This, in turn, gave rise to speculation that Berisha and Nano - old political enemies - had done a deal whereby the Democrats would back Nano. These votes, together with those of his allies in the Socialist Party would give him the Presidency and Berisha's government would survive.
The internationals are horrified at the prospect of a general election after all the problems with the recent local elections - problems that remain unresolved. A general election forced on the country as a result of partisan maneuvering over the Presidency would be worse still.