Gyorko's agreement, announced Monday, is a six-year deal that adds $35 million over five seasons through 2019.
It replaces a one-year deal agreed to last month and includes a team option for 2020. San Diego essentially buys out one year of free agency and possibly two.
The 33-year-old Izturis was put on the disabled list Sunday. Toronto said Monday that he had a complete tear of the lateral collateral ligament.
Izturis will seek a second opinion before setting the surgery. The team said the recovery time is about four to six months.
Adrian Beltre was hoping to get back in the lineup for the Texas Rangers this week before being told he was going on the disabled list instead because of a strained left quadriceps.
"I did not agree with the decision. It was out of my hands," Beltre said Monday, a day after the DL move was made. "Obviously, the medical staff and the front office thought it was best. … I have no say over that."
The Rangers are being cautious, and the 35-year-old third baseman even acknowledged that the move was "probably smart."
The left-hander threw 25 pitches in the bullpen before Cincinnati opened a series against the Pittsburgh Pirates. The Reds will gradually increase his activities and hope to have him back sometime in May.