Adames rejected the Brewers' one-year, $21.05 million qualifying offer Tuesday, Adam McCalvy of MLB.com reports.
Adames has received offers from the Dodgers and Mets as of Thursday, Mike Rodriguez reports.
The Brewers extended Adames a one-year, $21.05 million qualifying offer Monday, Jeff Passan of ESPN.com reports.
Adames isn't in the Brewers' lineup for Thursday's game against the Diamondbacks, Adam McCalvy of MLB.com reports.
Adames went 3-for-9 with a pair of home runs, three total runs scored and four total RBI in Friday's doubleheader with the Reds.
Adames went 2-for-4 with a walk, a double, a solo homer and an additional run scored during Thursday's 16-7 win in Atlanta.
Adames went 4-for-5 with two home runs and four RBI in Tuesday's 10-0 win over Atlanta.
Adames went 4-for-4 with a two-run home run, a double, a walk, two additional RBI and two total runs scored in Sunday's 9-3 win over the Nationals.
Adames is starting at shortstop and batting cleanup Sunday against the White Sox.
Adames is out of the lineup for Sunday's game against the White Sox, Adam McCalvy of MLB.com reports.