Conservatives seek Lithuania win
Andrius Kubilius was prime minister during 1999-2000
Lithuanians are voting in the second round of general elections in which the main conservative opposition hopes to build on gains made two weeks ago.
The Homeland Union led after the first round on 12 October, while the governing Social Democrats were fourth.
After casting his vote on Sunday, Homeland Union leader Andrius Kubilius said he expected on Monday to "take the initiative" to form a coalition.
Mr Kubilius, 51, served as Lithunainan prime minister during 1999-2000.
The second round will decide 68 seats of the 141-seat parliament.
Voting began at 0700 (0500 GMT) and will close at 2000 (1800 GMT).
"We expect the result of the election will be such that we can form a government together with the centre-right and liberal parties," Mr Kubilius said as he cast his ballot.
"Tomorrow we should be able to announce that we will be able to take the initiative," he added.
Rolandas Paksas was impeached four years ago
In the first round the conservatives won 18 seats, followed by the National Revival Party, led by a former talent show host, and impeached ex-President Rolandas Paksas' Order and Justice.
Correspondents say Order and Justice could form a populist partnership with Russian-born millionaire Viktor Uspaskich's Labour party.
Mr Uspaskich - known as Mr Gherkin because of his pickles business - is battling corruption allegations and is barred from leaving Lithuania.
Ex-stunt pilot Mr Paksas was the first European head of state to be removed by impeachment. He quit four years ago amid corruption allegations, which he has always denied.
Although still banned from holding public office, analysts say he could wield huge influence behind the scenes.
In power since 2001, the Social Democrats were in trouble due to the failing economy of the ex-Soviet state, which joined the European Union in 2004.