The West has demanded an explanation from the Kremlin, which has denied any involvement in the incident and said it has yet to see evidence of a crime.
Unlike the relatively positive public response that was seen in the United Arab Emirates, the responses in Bahrain were harsher.
In most recent Knessets, one of the two MKs on the committee came from the opposition.
Navalny, a fierce critic of President Vladimir Putin, had started feeling ill when returning to Moscow from Tomsk in Siberia by plane on Wednesday morning.
Tens of thousands of people took to the streets for a sixth consecutive day on Friday, mounting the most serious political challenge to Lukashenko's tight grip on power.
Opposition leader and Yesh Atid leader MK Yair Lapid decried the bill saying it would hand extraordinary powers to the prime minister who, he said, had failed in his management of the epidemic.