The Swiss is 100 points behind world number one Rafael Nadal and will replace the Spaniard atop the rankings if he reaches Sunday's final.
Federer, who has won a record eight Wimbledon titles, was largely untroubled by Pella and lost just one point on serve en route to winning the opening set. He continued his momentum to clinch the victory in 65 minutes.
The 20-times Grand Slam winner will face fourth-seed Nick Kyrgios in Saturday's semi-finals after the Australian earned a hard-fought 6-4 3-6 6-3 win over Spaniard Feliciano Lopez.
Meanwhile, Canadian Milos Raonic battled to a 7-6(2) 7-6(1) victory against third seed Tomas Berdych, of Czech Republic, to set up a last four encounter against defending champion Lucas Pouille after the Frenchman ousted Denis Istomin 6-4 6-7(5) 6-3.
(Reporting by Aditi Prakash in Bengaluru, editing by Pritha Sarkar)
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