The Cardinals reportedly agreed to trade four minor-league prospects to the Marlins on Wednesday for outfielder Marcell Ozuna, (File)

By Rob Rains

The Cardinals reportedly checked off one of the biggest boxes on their off-season to-do list on Wednesday, acquiring outfielder Marcell Ozuna from the Marlins in a five-player deal.

The question now is whether the Cardinals will stop there or keep going.

“I don’t think you close the doors,” manager Mike Matheny told reporters at the winter meetings in Florida. “I think you remain very, very open to whatever might happen, whatever might be out there, and then adjust accordingly.

“I don’t think you’d be doing yourself any favors to close doors at this point.”

The deal for Ozuna was not confirmed by the Cardinals, in part because he has not taken a physical exam, but multiple sources said Wednesday the team had agreed to trade four prospects for the 27-year-old Ozuna, who hit .312 with 37 homers and 124 RBIs last year for the Marlins while winning a Gold Glove.

The top prospect going to the Marlins, according to multiple reports, is right-handed pitcher Sandy Alcantara. The Cardinals also included outfielder Magneuris Sierra in the deal, using their depth among pitching prospects and outfielders to build a package that was attractive to the Marlins but did not include any of the organization’s top five prospects or young major leaguers.

The other two players reportedly in the trade are right-handed pitcher Zac Gallen and left-handed pitcher Daniel Castano.

Being able to acquire Ozuna without having to include more of their top prospects left open the possibility for more deals, either for a closer, another bat, or both.

The Cardinals are believed to still be in discussions with the Tampa Bay Rays, who are looking to move closer Alex Colome and perhaps starter Chris Archer or third baseman Evan Longoria. The Cardinals also have reportedly discussed third basemen Manny Machado of the Orioles and Josh Donaldson of the Blue Jays, but traditionally have been much more reluctant to pull the trigger on those types of deals since both players can become free agents after next season.

There also were reports on Wednesday the Cardinals had discussed trading outfielder Stephen Piscotty to the Oakland A’s, and outfielder Randal Grichuk’s name also has come up in discussions with teams.

The winter meetings officially end on Thursday morning after the Rule 5 draft, but talks that picked up in intensity this week could still lead to further deals.

Leaving Florida with Ozuna, however, made this a successful week for the Cardinals, who will have two years of control over Ozuna before he is eligible for free agency. Barring further trades, he projects as the Cardinals’ left-fielder and cleanup hitter with Tommy Pham moving to center and Dexter Fowler to right field.

Matheny would not discuss Ozuna specifically while taking his turn through the yearly media managerial scrums, but spoke generically about what a player such as Ozuna could do to the Cardinals’ lineup.

“I think it goes back to that impact bat, whatever we could do to have that presence in the middle of the order that you see in so many teams,” Matheny said. “What are the pieces that are keeping us from being where we feel we should be? A presence in the middle, whether it’s one bat or more, is something that we feel is very important.”

Alcantara and Sierra both made their major-league debuts for the Cardinals last season but spent much of the year in Double A. Alcantara, 22, was 7-5 at Springfield with a 4.31 ERA, recording 106 strikeouts in 125 innings. Sierra, 21, played in 81 games at Springfield, posting a .269 average with one homer, 35 RBIs and 17 stolen bases. Both joined the Cardinals’ organization as international free agents.

Gallen, 22, was the Cardinals’ third-round pick in 2016 from North Carolina. He pitched for Palm Beach, Springfield and Memphis this year with a combined record of 10-8, a 2.93 ERA and 121 strikeouts in 147 innings.

Castano, 23, was picked in the 19th round of the 2016 draft out of Baylor. He pitched for State College this year, going 9-3 with a 2.57 ERA and 87 strikeouts in 96 innings.

The Cardinals on Wednesday also officially finalized the deal with reliever Luke Gregerson and saw former reliever Juan Nicasio agree to a two-year deal with the Seattle Mariners.

Follow Rob Rains on Twitter @RobRains