Pete Snyder, a Republican candidate for Virginia lieutenant governor, also wrote to Beretta last week, according to the Post.
Thompson touts the number of West Virginians who own guns, while Miley pointed to the number of bills introduced in the Legislature that aim to counter gun-control efforts.
"Indeed, there have been many bills introduced already in this legislative session that send a loud and clear message to the world of the freedom we enjoy in West Virginia (and which we intend to keep) to own and use firearms for self-defense, recreation, and hunting," Miley writes.
As of Monday 28 bills introduced in the House or Senate deal with firearms. Most seek loosened restrictions on owning or carrying guns.
In his letter, Miley asks Tomblin to investigate the move, prepare a proposal highlighting West Virginia's attributes and let Beretta know if there are any tax breaks or other incentives available.
Beretta doesn't appear to have made any further statements as to whether it will actually move. A Tomblin representative was unaware of Miley's letter and did not know if the governor would pursue the company.