One Nation leader Pauline Hanson and Muslim MP Anne Aly have broken bread for the first time, discussing issues close to their hearts over a polite lunch in the MPs' dining room.

There have been expectations of fireworks between the two since the election of Dr Aly, a counter-terrorism expert and Australia's first female Muslim Federal MP, and Senator Hanson to Parliament in July.

Dr Aly migrated to Australia from Egypt as a young child and rejects Senator Hanson's anti-Muslim policies, including a blanket ban on Muslim immigration.

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