matchup against (対戦)
He lost his first round matchup against Rafael Lima of Brazil.
This earned them a matchup against the top-seeded Ohio State Buckeyes.
Te'o made his NFL debut in a week 4 matchup against the Dallas Cowboys.
matchup between (間の対戦)
It was the first matchup between the rivals since 1936.
A matchup between Ronda Rousey and Zingano took place at UFC 184 for the women's bantamweight title.
ESPN's highest rated regular season contest was the first matchup between Shaquille O'Neal and Yao Ming.