Slovenians were voting on Sunday in a run-off poll expected to elect the country's first woman president -- a lawyer linked to former US first lady Melania Trump.

Natasa Pirc Musar, backed by the centre-left government, is running against ex-foreign minister Anze Logar, a veteran of conservative politics, in the EU country of two million.

A lawyer, Ms Pirc Musar was hired to protect the interests of Slovenian-born Melania Trump during her husband's presidency, stopping companies attempting to commercialise products with her name.

She is forecast to win just slightly above 50 percent of the vote, ahead of Anze Logar who is due to get between 44 and 49 percent, according to the latest polls.

Ms Pirc Musar, who headed the country's data protection authority for a decade, says her victory would make her "the voice of women" in Slovenia and abroad.

Though the president's role is largely ceremonial, the human rights advocate has vowed to be a "moral authority".

"The president cannot be neutral... and have no opinion... I have never been afraid to speak out," the former television presenter, 54, told AFP.

Ms Pirc Musar, who is a keen motorcyclist, has come under attack because of her husband's lucrative investments -- especially in tax havens.

Her opponent Mr Logar, 46, also ran as an independent but is a long-time member of the Slovenian Democratic Party (SDS) of Janez Jansa, who failed in his bid to be re-elected as premier in April.

"I entered this campaign to win," Anze Logar said, casting his ballot in the capital Ljubljana.

'More balance'

Critics accused Jansa of attacking media freedom and the judiciary and undermining the rule of law in his latest term in office.

Mr Logar plays the cello and is a keen mountaineer who cycled to the presidential debates.

"It is good if the president represents a different view than the ruling coalition -- (it) provides more balance... which is better for a democratic system," Logar told AFP ahead of Sunday's vote.

Newspaper columnist Uros Esih said Ms Pirc Musar has surrounded herself with "strong advisers", allowing her to compete with the relatively more experienced Logar.

But Mr Logar would "more likely be a mere instrument" of Jansa's party, Uros Esih said.

"I hope a candidate that will bring people together will win," Rok Novak, an economist in his early 50s, said at a Ljubljana voting centre.

"Slovenia is so polarised right now."

Mr Logar came first in the first round last month when the centre-left votes were split largely between Ms Pirc Musar and another candidate.

Analysts say a low turnout would favour Mr Logar, but polls predict about half of those eligible will vote, as in the first round, putting Ms Pirc Musar ahead.

Polling stations opened in the former Yugoslav republic at 7:00 am (0600 GMT) and are due to close at 7:00 pm, with partial results expected later the same day.

Incumbent Borut Pahor, a former Social Democrat, could not run for re-election after having held the post for two five-year stints.

Pensioner Silva Lotric was optimistic as she cast her ballot.

"I hope my candidate will win... if my candidate wins, she will definitely bring changes," to the role of the president.