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Santander will join a lineup that features Vladimir Guerrero Jr. and Bo Bichette.
Santander spent his first eight MLB seasons with the Orioles, hitting 155 home runs with a .246 batting average.
The Venezuelan slugger signed with Cleveland as an international free agent in July 2011. He was selected by Baltimore in the Rule 5 draft in December 2016.
MLB Network first reported Santander had reached an agreement with the Blue Jays.
The Associated Press contributed to this report.
