Melbourne: Swiss great Roger Federer said that "I believe in miracles" after he saved seven match points in a five-set nail-biter against 100th-ranked Tennys Sandgren to labour into the Australian Open semi-finals on Tuesday.

The six-time champion, struggling physically, saved three match points at 4-5 in the fourth set and four more in the tie-breaker to win 6-3, 2-6, 2-6, 7-6 (10/8), 6-3 and set up a clash against either title-holder Novak Djokovic or Milos Raonic.

Federer received a rare warning for an audible obscenity before going off-court for treatment on a groin injury in the third set, but still looked hampered as he forced a fifth set against the big-serving American.

"I believe in miracles," Federer said, revealing that he thought his groin strain had ended his chances. "There could be rain, there could be all kinds of stuff.

"(I thought) just let him finish me off in style, and he didn't do that. I'm incredibly lucky tonight, today -- I don't even know what time it is."

Sandgren, achingly close to becoming the lowest-ranked player to beat Federer at the Australian Open, can count himself unlucky especially after a ball girl accidentally collided with him during the pivotal tie-breaker, which he lost.

Federer has made heavy weather of reaching his 46th Major semi-final. He was two points from defeat by John Millman in a fifth-set tie-breaker in round three, and dropped a set against 67th-ranked Marton Fucsovics in round four.

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Guwahati (PTI): A total of 21 illegal migrants from Bangladesh, including children, were sent back to their country from Assam in the early hours of Sunday, Chief Minister Himanta Biswa Sarma said.

The push back took place from Sribhumi district of the state, he said.

"Alert eyes. Midnight action. At 12:30 AM sharp, 21 illegal migrants were sent back to their respective country, thanks to the ever-watchful @sribhumipolice," Sarma said in a post on X.

"Apprehended. Documented. Sent back home. Seems like while most people were dreaming, our police were wide awake doing the night shift for the nation. Sleep can wait when duty calls," he added, lauding the police action.

The two photographs shared by the chief minister on X showed at least seven children among the illegal migrants.

The Assam government has been cracking the whip on illegal migrants from Bangladesh, pushing back infiltrators through its borders with the neighbouring nation.