WASHINGTON (AP) — Exxon Mobil is seeking permission from the U.S. government for approval to resume drilling around the Black Sea with a Russian partner, state-owned Rosneft, according to a person familiar with the matter.

The oil giant's request is being reviewed by the Trump administration and is certain to draw extra scrutiny because it involves a company formerly run by Secretary of State Rex Tillerson, who cultivated close ties with Russia and its president, Vladimir Putin.

The drilling venture was blocked when the U.S. imposed sanctions on Russia in 2014. Exxon applied to the Treasury De...