Washington (CNN) The Supreme Court could now decide as early as Wednesday afternoon whether an unnamed foreign-owned company will have to pay daily fines for avoiding a grand jury subpoena related to Robert Mueller's special counsel investigation.

The company submitted a reply under seal to the Supreme Court earlier today, following written arguments it and the Justice Department made last week.

The filing Wednesday tees up a vote by the full Supreme Court.

The company has been trying to avoid a subpoena from a DC-based grand jury, and faced court-imposed fines for every day it did not turn over information.

After losing at an appeals court, the company took its challenge to the Supreme Court and asked for a freeze on the mounting penalties.

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