The Red Sox described the surgery, performed in NY, as "cartilage restoration".
The Red Sox said Pedroia is expected to return to games in approximately seven months. Wright's procedure also was performed at the same hospital by the same surgeon.
Without Pedroia, utilityman Brock Holt would be the sensible in-house fill-in next year.
He underwent arthroscopic surgery on his left knee last October. The surgery was done with hopes to fix a left knee injury that bothering the former MVP second baseman for most of the year.
From the start of '17, Pedroia's knee was a constant issue.
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Pedroia has four years and $56 million left on his current contract with the Red Sox.
The 34-year-old missed a significant chunk of the 2017 campaign due to various injuries, as he played in only 105 games.
The right-handed hitter was clearly hampered by a lack of strength in his leg down the stretch, hitting.242 with two doubles, one homer and eight RBIs in September.
After weighing his options since the season ended, Red Sox second baseman Dustin Pedroia went under the knife on Wednesday.