Toninato was placed on waivers Sunday, Chris Johnston of The Athletic reports.
Toninato was summoned from AHL Manitoba on Wednesday, Mitchell Clinton of the Jets' official site reports.
Toninato was placed on waivers Thursday, per Renaud Lavoie of TVA Sports.
Toninato was called up by Winnipeg on Wednesday.
Toninato was loaned to AHL Manitoba on Monday.
Toninato was recalled from AHL Manitoba on Saturday.
Toninato was reassigned to AHL Manitoba on Wednesday.
The Jets recalled Toninato from AHL Manitoba on Friday.
Toninato was placed on waivers Sunday for the purpose of assigning him to AHL Manitoba.
Toninato inked a two-year, two-way contract with Winnipeg on Wednesday.