An emotional Bencic was in tears after reaching a maiden Wimbledon quarter-final after beating Ekaterina Alexandrova 7-6 (7-4) 6-4 earlier on Monday.
Bencic had been thrashed 6-1 6-2 by her Russian opponent just two weeks ago at the Bad Homburg Open, but she held her nerve in the high-pressure moments in their fourth-round meeting at SW19.
When victory was confirmed after 18th seed Alexandrova sent a forehand long, Bencic held her hands in the air before wiping back tears.
“I always got stuck in the fourth round so it was important for me to break through to the quarter-final,” said the former world number four.
“It was crazy stress out there but I was so happy to break her in the end. The atmosphere was unbelievable.
“I tried to be more brave. I had a few weeks of good practice and matches under my belt.”
Bencic has been in good form since becoming a mother last year, winning the Abu Dhabi Open in February, just 10 months after giving birth.
“It has been really amazing,” she said of travelling to tournaments with her child. “I am really proud of myself and the whole team. I am really enjoying it.
“It is amazing to share the memories as a family. I feel like as a family I am taking more pictures!”
Meanwhile, 19th seed Liudmila Samsonova progressed after beating Spain’s Jessica Bouzas Maneiro 7-5 6-4.
Samsonova has been in strong form at Wimbledon so far, having had lost just 13 games in her previous three matches.
She was given a sterner test by Bouzas Maneiro but sealed victory in one hour and 43 minutes to reach a first Grand Slam quarter-final.