Floro worked a perfect seventh inning without a walk or a strikeout Tuesday to record his second hold of the season in a win over the Giants.
Floro (shoulder) gave up one earned run on two hits over one inning of relief Saturday in the Nationals' 8-5 loss to the Cardinals in Grapefruit League play.
Floro (shoulder) recently pitched to hitters in live batting practice, Mark Zuckerman of MASNSports.com reports.
Floro (shoulder) threw 15 pitches off a mound at about 70 percent effort Monday, Andrew Golden of The Washington Post reports.
Floro experienced tightness in his shoulder Saturday and will be shut down for a few days, Andrew Golden of The Washington Post reports.
Floro signed a one-year, $2.25 million contract with the Nationals on Tuesday.
The Twins released Floro on Sept. 29.
Floro was designated for assignment by the Twins on Tuesday, Do-Hyoung Park of MLB.com reports.
Floro (4-5) earned the win Tuesday against the Tigers. He allowed one hit and struck out one in a scoreless sixth inning.
The Marlins traded Floro to the Twins on Wednesday in exchange for Jorge Lopez, Craig Mish of the Miami Herald reports.