West Face Capital Inc. filed a motion with an Ontario court Wednesday seeking an order to stop Israeli intelligence firm Black Cube from continuing alleged attempts to covertly obtain confidential information from the Toronto firm’s former and current employees.

In a motion filed with the Ontario Superior Court of Justice, private-equity firm West Face alleged its rival in a long standing legal dispute, Catalyst Capital Group Inc., hired Black Cube to approach some of its former and current employees to obtain company secrets,...