[2] Solano signed as an international free agent with the St. Louis Cardinals in January 2005[5] after performing well at a workout attended by then-Cardinals scouting director Jeff Luhnow.

[2] In 2008, Solano was a mid-season Florida State League All Star with the High-A Palm Beach Cardinals.

[5] Solano signed a minor league contract with the Miami Marlins on November 11, 2011 and was a non-roster invitee to 2012 spring training.

[5] Solano competed for a reserve infielder role with the Marlins, ultimately won by Donnie Murphy.

[10] After Bonifacio injured his knee, Solano took over second while Murphy, Dobbs, and Gil Velazquez competed to be the starting third baseman.

[5][17] Following the season, he played for Tigres del Licey of the Dominican Winter League, hitting .371/.400/.468 in 62 at bats.

[5] On January 19, 2018, Solano signed a minor league contract with the Los Angeles Dodgers.

He played in 81 games for the Triple-A Oklahoma City Dodgers of the Pacific Coast League, batting .318./.353/.430 in 340 plate appearances.

[20] He started the 2019 season with the Triple-A Sacramento River Cats, batting .322/.392/.437 with two home runs and 16 RBIs in 24 games.

He hit line drives on 33.9 percent of batted balls, the highest of any MLB batter with at least 60 plate appearances.

He made his MLB postseason debut but was hitless in 9 plate appearances with 1 sacrifice fly and 1 RBI.

[34] Solano started the season on the injured list and received a platelet-rich plasma injection to address lingering pain in his left hamstring in April.

[37][38] In 134 games for Minnesota, he batted .282/.369/.391 with five home runs and a career-high 38 RBI as the Twins won American League Central.

[41] Solano started his time with the Padres primarily playing third base with Manny Machado limited due to his recovery from an elbow surgery at the end of the previous season.

[43][44] Solano hit a career high 8 home runs in the regular season, batting .286/.343/.417 in 96 games as the Padres advanced to the National League Division Series before their elimination by the Dodgers.

After Colombia qualified for the 2017 World Baseball Classic, Solano played for the national team alongside his brother Jhonatan.

[50] Solano initially committed to play in the 2023 World Baseball Classic but withdrew from the team in February 2023 to prepare for his upcoming season with the Twins.

[54][55] The Solanos were the first brothers to make their MLB debut in the same month since Vladimir Guerrero and Wilton Guerrero in September 1996, and the first brothers to have their first MLB hit in the same month since Pete Stanicek and Steve Stanicek in September 1987.