Socialist presidential candidate Lenin Moreno, who leads in opinion polls, favors continuing to grant the Australian whistleblower asylum, which was granted to him under outgoing leader Rafael Correa.
But two conservative contenders, Guillermo Lasso and Cynthia Viteri, each told AFP they would end Assange's asylum if they win the election.
Under Correa, Ecuador grabbed world headlines when it defied the United States by granting Assange refuge as he fights against Swedish rape charges.
The move has also shielded him from arrest over possible extradition to the United States for leaking diplomatic cables that embarrassed Washington.
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The Ecuadoran elections could see a pillar of the Latin American left swing to the right in a country at an economic and political crossroads.
After a decade of leftist rule, voters must decide whether to follow Argentina, Brazil and Peru in switching to a conservative government.
Over his decade in power, leftist economist Correa, 53, oversaw an economic boom in the country of 16 million. But he is not up for re-election.
The economy shrank by 1.7 percent last year, suffering notably from falling oil prices.
"When Correa came to power he promised to diversify the production model," Alberto Acosta-Burneo, an economist at the Spurrier Group consultancy, told AFP.
"But he is leaving behind a country in which it is very difficult to produce things."
Correa's ally and would-be successor Moreno, 63, promises to continue the outgoing president's tax-and-spend social policies.
"The Ecuadoran people have affection (for us) and are determined to continue with this process," Moreno told AFP on Wednesday at a campaign event.
Lasso has vowed to cut spending and taxes, lure foreign investment and create a million jobs.
He has slammed Correa's allies over alleged links to a corruption scandal.
"We have to vote for change to fight against corruption," Lasso said at a campaign rally on Wednesday.
The third-placed candidate is conservative former lawmaker Viteri, 51.
Correa says Latin America needs a strong leftist movement to resist US President Donald Trump's hard line on immigration and trade.
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