Boyer appeared in 32 games last season for the Padres and posted a 3.57 ERA.
Burke pitched 31 2/3 innings with the Rockies last season with a 5.68 ERA.
Tampa Bay is receiving pitcher Jose Dominguez and Greg Harris. Los Angeles will receive Joel Peralta and pitcher Adam Liberatore . Peralta is the most well-known of the bunch. The 10-year veteran posted a 4.41 ERA over 63 1/3 innings with the Rays last year.
The team purchased the contracts of Tayron Guerrero, Taylor Lindsey and Alex Dickerson . In order to make room for those adds, the team designated both Blaine Boyer and Yeison Ascensio for assignment.
Cody Hall , Joan Gregorio and Ray Black all had their contracts purchased. All three players are protected from being selected in the Rule 5 draft. In order to make room on the 40-man roster, the team designated J.C. Gutierrez for assignment.
The 26-year-old Kelly hit .263/.381/.412 over 549 plate appearances at Triple-A last year. The 25-year-old Gaviglio posted a 4.28 ERA in 136 2/3 innings at Double-A. Neither player was on the 40-man roster prior to the deal.
The team purchased the contract of pitcher Kevin Munson and A.J. Schugel . Both players are now unavailable for the Rule-5 draft. In order to make room on the roster, the team designated Mike Bolsinger and Charles Brewer for assignment.