Kalinin signed a three-year contract with SKA Saint Petersburg of the KHL on Saturday, Igor Eronko of Russia's Sport-Express reports.
The Devils traded Kalinin to the Maple Leafs on Saturday in exchange for defenseman Viktor Loov, The Record reports.
Kalinin was waived by the Devils on Friday, Elliotte Friedman of Hockey Night in Canada reports.
Kalinin (undisclosed) is available for Sunday's contest in Vancouver but will be a healthy scratch, Andrew Gross of the Record reports.
Kalinin won't suit up for Friday's road game versus the Flames after he was injured blocking a shot against the Oilers on Thursday night, Andrew Gross of the Record reports.
Kalinin scored a goal and added an assist during the third period of Monday's win over Boston.
Kalinin (illness) will slot back into the depth chart against Vancouver on Tuesday, Andrew Gross of The Record reports.
Kalinin will miss Thursday's matchup against Chicago due to illness, Andrew Gross of The Record reports.
Kalinin will slot back into the lineup against the Wild on Saturday, Andrew Gross of The Record reports.
While Kalinen (illness) remains on injured reserve, it's expected that he will be in the lineup Saturday for a home game against the Wild, The Record reports.