Drew Smith got two outs in place of Díaz before Jake Diekman struck out pinch-hitter Patrick Wisdom for his third save for the Mets, who have won four straight series.
Severino (5-2) struck out a season-high 10 and allowed three hits for New York, which has won 10 of 13 and improved to 13-6 in June. Mark Vientos added a solo homer for the Mets.
Christopher Morel homered for Chicago, which has dropped 10 of its last 16.
Javier Assad (4-3), who has gone seven starts without a win, gave up seven hits and walked one in 4 1/3 innings.
New York’s victory came hours after the Cubs unveiled a statue of Hall of Fame second baseman Ryne Sandburg outside Wrigley Field.
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AP MLB: https://apnews.com/hub/mlb
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