Jacinta Nampijinpa Price has again refused to apologise for her comments about Indian-Australians and declined to back the leadership of Sussan Ley, as a public spat between Liberal frontbenchers enters a second week.

In a hastily-convened press conference in Perth, Senator Nampijinpa Price said she "won't be silenced" on the issue of migration and that Ms Ley's leadership was "a matter for our party room".

The firebrand senator, who defected from the Nationals to the Liberals in May to seek the deputy leadership and then pulled out of the race at the last minute, derailed what had been a successful week in parliament for her party leader when she suggested in an ABC interview that the Albanese government was prioritising migrants likely to vote Labor.

When pressed on what she meant, Se

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