Fognini, last year’s champion in Mexico, bowed out in the quarter-finals with a 6-1 7-6 (7-1) defeat to Fritz on Thursday.
Fritz is coming off a run to the Atlanta Open final and got the better of Fognini to record his 12th victory in his last 14 matches.
The 21-year-old American saved five break points against Italian top seed Fognini, who had won their only previous meeting last year.
Fritz will face Radu Albot in the semi-finals after the Moldovan seventh seed beat 2017 runner-up Thanasi Kokkinakis 6-3 6-3.
Pella, the second seed, edged past qualifier Kwon Soon-woo 4-6 6-1 6-2, breaking serve six times.
He will meet Schwartzman in an all-Argentinian last-four clash after the third seed crushed Mikhail Kukushkin 6-1 6-2.
Pella and Schwartzman were the second seeds in the doubles at the tournament, but lost in the quarter-finals on Thursday.
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