Associate Justice Samuel Alito poses during a group photo of the Justices at the Supreme Court in Washington, April 23, 2021.

The U.S. Supreme Court is set on Tuesday to consider a challenge to the legality of a tax targeting owners of foreign corporations that could undermine efforts at imposing a wealth tax on the very rich in a case that has already sparked controversy over a call for Justice Samuel Alito to recuse.

The justices were due to hear arguments in an appeal by Charles and Kathleen Moore — a retired couple from Redmond, Washington couple — of a lower court's decision rejecting their challenge to the tax on foreign company earnings, even though those profits had not been distributed.