With three seats still in doubt nationally, all eyes are on Hasluck for a result that may decide which party can form a government.
At 5pm (WST) yesterday, Ken Wyatt had a lead of 586 votes on a two-party preferred basis over Labor incumbent Sharryn Jackson, as counting continued at the electoral office in Midland, in Perth's east.
Brendan Barlow of the Australian Electoral Commission (AEC) said that about 4000 fresh postal, pre-poll and absent votes would be counted yesterday.
But there were still thousands more votes to count and it was still too close to call, Mr Barlow told AAP.
"At this point in time, it's difficult to say how it's going to pan out until we actually finish the count.
"But indications to date are: it seems to be slightly favouring the Liberal Party, from the postals anyway.
"We've still got a fair way to go."
Postal votes are often thought to favour the incumbent.
Despite the ALP putting out far more postal-vote applications than the Liberal Party, that wasn't being reflected in postal votes counted yesterday.
Mr Barlow said counting would stop about 5pm (WST) and resume again today, with a final result probably not known for days.
Scrutineers from both parties were "there in force", Mr Barlow said.
Mr Wyatt has edged further ahead after leading Ms Jackson by 363 votes when the counting of ballots cast at polling booths in the electorate was wound up on Saturday night.
A win for Mr Wyatt, a health expert, would make him the first indigenous member elected to the House of Representatives.
Ms Jackson is a former union official who won the marginal seat at the 2007 federal election after losing it for a term.
