All 32 MLB teams had to tender contracts to their arbitration-eligible players by 8 p.m. on Monday, or they would officially hit the free agent market for anyone's bidding.

The Yankees tendered contracts to all of their specified players, but they could be in the hunt for some players that didn't see a contract from their now former team.

Here's who could interest the Yankees on the free agent market...

1) RHP Blake Treinen

Treinen has been a player already linked to the Yankees this offseason, after The Athletic's Ken Rosenthal reported the A's were trying to shop the 31-year-old reliever before being non-tendered. The Yankees were among teams the A's called, but in the end, they had to let him go.

This works in the Yankees' advantage if they are interested in stacking their bullpen even more with Treinen. He regressed a bit in 2019 with a 4.91 ERA compared to an All-Star 2018 season that saw an 0.78 ERA and 38 saves for Oakland. The Yankees, though, don't need a closer. They could use Treinen in Dellin Betances' slot if they don't want to bring him back in free agency, which there has been no indication of.

2) RHP Kevin Gausman

Gausman was released by the Braves after owning a bad 6.19 ERA through 16 starts. But when the Reds picked him up and put him in the bullpen, he improved.

If the 29-year-old were to have a place on the Yankees, it would likely be in the same role. He knows the AL East well with his time as an Oriole, and he was a former top five pick. The Yankees may be able to unlock something in him as a solid bullpen piece.

3) OF Kevin Pillar

Aaron Hicks will be rehabbing his way back from Tommy John surgery, and won't come back until after the All-Star break most likely. So the Yankees need to fill center field, and Pillar could be that man.

Now Brett Gardner may take priority in free agency, especially after his career year at the plate. He set career highs in homers (28) and RBI (74) while collecting a .325 OBP and .829 OPS.

Pillar was also solid at the dish, tying his career high in homers at 21. However, his OBP was .293, which basically mirrors his career .296 OBP. And his outfield numbers have taken a big dip with a -3 defensive runs saved last season. He was in the 20s in 2015 and 2016, so that's a little concerning.

Still, he's 30 years old and has tons of speed. The Yankees have figured out how to make players more productive than their career numbers have told -- think Cameron Maybin and Gio Urshela this season. Pillar may be that next guy in line, but Gardner may have the upper hand already.

4) LHP Ryan Buchter

When you pitch to the tune of a sub-three ERA for three consecutive seasons, teams will certainly be on your radar in free agency.

That's Buchter, whose 2.98 ERA over 45.1 innings with the A's last season makes him an intriguing option for the Yanks. Another lefty in the bullpen could be pivotal, especially with Nestor Cortes Jr. traded to the Mariners. A slot is open if the Yanks want to use it for a lefty in this case.

The only glaring number when researching Buchter: home run rate. Yankee Stadium is obviously a smaller park, and Buchter's 1.6 home runs per nine innings is a bit concerning. But it was 0.9 in 2018, so the juiced baseball could have something to do with that stat.

5) C Josh Phegley

Should the Yankees move on from Austin Romine, Phegley would most likely be on their list of replacement backup catcher. He was the full time catcher for Oakland last season, owning a .239/.282/.411 slash line with 12 homers and 62 RBI over 106 games behind the plate.

Romine has long been the Yankees' backup catcher, but he's a free agent now. If another team offers him more money, which could be possible, the Yankees may want to look at Phegley.

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