Jacoby Ellsbury, Stephen Drew and Mike Napoli have all rejected qualifying offers from Boston Red Sox, reports ESPN.
The one-year deals were reported to be worth $14.1m each and were made just hours before the qualifying offer deadline.
However, Napoli, Drew and Ellsbury have, as expected, rejected their offer and will instead turn to the free-agent market to see if they can get a better deal elsewhere.
They are all free to continue negotiations with the World Series champions, but may opt to sign for another team if better offers are made.
If a team does sign one of the players they will have to forfeit a first-round draft pick whilst the Red Sox would get a compensatory pick from the first-year player draft.
Out of the trio, Ellsbury is expected to generate the biggest offer and is considered the second most coveted free agent on the market. He is expected to garner an offer in excess of $100m.
The Red Sox have attempted to negotiate a long term deal in that region for Ellsbury, but the player and the franchise failed to agree terms.
Drew, who has just completed a $9.5m one-year deal at Fenway Park, is trying his luck but enters a weak shortstop market.
Napoli, who saw a three year deal fall apart after a number of hip issues, has stated his intention to remain at Boston.
None of the 13 players around the MLB who were offered one-year, $14.1 million qualifying offers accepted.