Multiple teams have shown interest in the free-agent market.
The Houston Astros, St. Louis Cardinals, Cleveland Guardians and New York Yankees all reached out to Story, according to Mike Rodriguez.
The Minnesota Twins had been in contact with Story as well. The Twins had a lot of irons in the fire, so as to say they were checking in on multiple different players.
Before the Twins and Yankees completed a significant trade on Sunday night, there were reports about the Yankees and Twins.
The Yankees and Twins are not clear on where they stand in the story.
Story has spent his entire six-year MLB career with the Colorado Rockies, but it looks like he may finally be moving on from the rebuilding club.
During his time in Colorado, Story has been one of the best players in the Rockies and one of the best players in baseball.
The two-time All-Star and two-time Silver Slugger Award winner has finished with at least 24 home runs and 72RBI in each of the five non-shortened seasons he has played in.
He had a career year in which he hit.301 with 37 home runs,108 runs, and 27 stolen bases.
He had a great season in 2019: he hit.294 with 35 homers, 85 runs, and 23 steals.
Story hit.289 with 11 home runs, 28 runs, and 41 runs, and he also led the National League with 15 steals and four triples in 59 games.
His batting average was his lowest in a year, as his production dropped off a bit last season. He had 24 home runs, 75RBI, 88 runs scored and 20 stolen bases.
Even though he didn't reach his usual level of play, it's understandable why he's a top target.
The Astros are said to be interested in Story, as they would likely sign him to replace Carlos Correa, who was their starter since 2015.
The Rockies will reform the left side of the infield if the Cards sign Story.
TheGuardians have been more focused on saving money rather than spending it lately, which saw them trade shortstop Francisco Lindor to the New York Mets last summer, but signing Story would be proof that they still want to contend.
The Minnesota Twins have been aggressive this year, acquiring starting pitcher Sonny Gray from the Cincinnati Reds.
Signing Story would fill a major hole for the Twins since last year's starter, Andrelton Simmons, signed with the Chicago Cubs this week.
It is unclear if the Yankees are still in on Story after acquiring Kiner-Falefa since the slick-fielding utilityman may be New York's primary plan at shortstop.
The Yankees need to make a splashy move to get out of the shadow of the Boston Red Sox and Tampa Bay Rays in the American League East, and signing Story could be that move.
Kiner-Falefa's ability to play third, second and even catcher makes him a super utilityman for New York.
Story is one of the last big dominoes to fall in free agency, and he could be a game-changer for whichever team signs him, especially if he returns to his pre-2021 level of production.