Kambwili is today expected to appear before the Zambia police anti-fraud squad at 14:00 hours as a follow up to his interrogation on Tuesday.
The Roan Member of Parliament is being pursued for allegedly fraudulently registering a company under false names.
He has been summoned in connection with a complaint filed by perennial political trouble shooter Chilufya Tayali.
Kambwili’s Christopher Mundia confirmed the summons.
On Tuesday Kambwili went to Lusaka Central police with a mattress but was later released after questioning.
Kambwili was expelled as information minister but remains a Patriotic Front lawmaker after having challenged his expulsion in the ruling party in court.