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Former Manchester United and Real Madrid striker Chicharito endured a difficult and injury-plagued 2020 season, Mexico's all-time leading goalscorer netting just twice after joining Galaxy.
But Chicharito kicked off his redemption season in style – his two-goal second half sinking David Beckham's Inter Miami in the season opener.
"I'm holding [back] my tears. I suffered the loss of my grandfather, I would love him to keep watching [me] scoring goals," Chicharito said. "I'm very touched because, like I told you, last year was very difficult.
"I miss him so much and these goals are for him, my kids, my whole family, my friends, everyone. I maintain patience, I keep grinding and thankfully things are coming around and hopefully, like I say, I just want to be a part of an unbelievable season and lift the trophy."
Trailing to Robbie Robinson's opening goal in first-half stoppage time, Chicharito equalised just past the hour mark in front of a sell-out crowd in Miami.
Former Juventus and Real Madrid striker Gonzalo Higuain restored Inter Miami's lead in the 68th minute – just his second goal for the club since arriving in the United States.
It had ex-United utility and former England women's boss Neville dreaming of a dream start in Miami, where he replaced Diego Alonso as head coach ahead of the 2021 season.
But Chicharito levelled proceedings again with a trademark header 17 minutes from the end before Sacha Kljestan put the Galaxy in front in the 81st minute.
Elsewhere, reigning champion Columbus Crew drew 0-0 against Supporters' Shield holder Philadelphia Union, while Vancouver Whitecaps edged Portland Timbers 1-0.