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The legendary opener shared a video of the meeting on social media.
Their 1-0 win over Mexcio also sent Jamaica crashing out of the tournament.
The 31-year-old has withdrawn from the Jamaican national championships due to injury.
Victory gave Ecuador, who were beaten by Venezuela in their Group B opener, their first points of the tournament.
Alvarez, who plays for West Ham United in England and is one the most experienced players on the Mexican team, collapsed clutching his hamstring in the 30th minute and limped off the pitch in tears.
Fraser-Pryce was the first 100m sprinter to win individual medals in four consecutive Olympic Games.
Thompson-Herah grabbed the early lead in the final and ran her usual smooth race to finish a comfortable winner in 10.95 seconds.
A flubbed baton handover proved costly for the US men's team as they finished second to Canada in 4x100m relay.
Shericka Jackson and Shelly-Ann Fraser-Pryce made it a 1-2 finish for Jamaica in the women's event.
The 35-year-old, who claimed a fifth world 100m title on Sunday, raised her right arm to fix the hairpiece and kept on running, crossing the line in 22.26 in second place.
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