The Padres selected Solano's contract from Triple-A El Paso on Sunday.
The Padres signed Solano to a minor-league contract Monday, Kevin Acee of The San Diego Union-Tribune reports.
Solano is not in the lineup for Wednesday's game in Cleveland.
Solano is out of the lineup for Sunday's game against the Rangers, Aaron Gleeman of The Athletic reports.
Solano is not in the starting lineup Friday versus the Rangers.
Solano will start at first base and bat eighth in Wednesday's game against the Guardians.
Solano will start at first base and bat second in Sunday's game against the Pirates.
Solano (knee) is serving as Minnesota's designated hitter and batting leadoff Sunday against Philadelphia
Solano was diagnosed with a mild MCL sprain in his right knee after undergoing an MRI on Wednesday, Dan Hayes of The Athletic reports.
Solano is out of the lineup for Wednesday's game against the Tigers after undergoing an MRI on his sprained right knee, Dan Hayes of The Athletic reports.