Fifth seed Grigor Dimitrov showed considerable determination to get past Fernando Verdasco, the Bulgarian recovering from losing the first set and coping with the psychological challenge of a lengthy rain delay to win 4-6 6-2 7-6 (7-5).
And former world No. 3 Stan Wawrinka came back to beat 16th-seed Nick Kyrgios 1-6, 7-5, 7-5.
Now at 29 after missing key stops in the clay season, Raonic began the long haul back with a good grass swing, and in Toronto, he made light work Goffin, 6-3, 6-4.
He took advantage of a Djokovic unforced error for an early break at 4-2 and used a few 210-km/h serves to take the first set by holding at love.
Kyrgios, with green fluorescent tape encircling each kneecap, quit injured in last week's Washington quarter-finals, and he was treated in the second set here for his chronically troublesome hip.
The Swiss player was originally given a qualifying spot in Toronto, but advanced to the main draw when former No. 1 Andy Murray withdrew. "I've known him, I've practised with him, but I've never played an official match so definitely not easy to find a rhythm from the beginning of the match", said Djokovic. "He's playing a good level".
A confident Tsitsipas sent a blistering forehand to the back corner while the ninth-seeded Serbian was heading the other way on his first match point to secure the win before looking at his box in disbelief. "I can't take any positives from that for me".
They were joined in progressing by Stefanos Tsitsipas, Ryan Harrison, Sam Querrey and Karen Khachanov. Tiafoe will face Milos Raonic of Thornhill, Ont., in the second round Wednesday.
The name's Elba, Idris Elba
On Sunday, Elba posted a series of cryptic tweets, beginning with a heavily filtered selfie accompanied by the caption "my name's Elba, Idris Elba ", a clear reference to the famous line spoken by Bond .
Blue light from smartphones may accelerate blindness
Unfortunately, there's now no cure for AMD, although certain treatments like eye injections can help slow down its progression. Dr Karunarathne says that blue light can be filtered with sunglasses which filter both UV rays as well as blue light.
Man United target Harry Maguire won't move in January - Leicester's Ben Chiwell
Leicester City striker Kelechi Iheanacho is aiming to show his best form this season, after a hard first season at the King Power. The 25-year-old - who was bought last summer from Hull City for £17million - is valued at around £80million by the Foxes .
There was a crowd-pleasing upset on Centre Court, as Canadian Felix Auger-Aliassime ousted France's Lucas Pouille 6-4 6-3, a day before the underdog's 18th birthday. Both also, it so happens, set showy matches with, respectively, the in-form No14 seed Fabio Fognini and No7 seed Dominic Thiem. "6-3, 6-4, (it was) probably a little closer than the score line said".
The unseeded Cornet advanced to a third-round meeting with 15th-seeded Ashleigh Barty of Australia, a 7-6 (9-7), 6-2 victor over Belgium's Alison Van Uytvanck.
Defending Rogers Cup champion Alexander Zverev of Germany was to play Russian qualifier Daniil Medvedev in the late afternoon match.
Sharapova, making her first Rogers Cup appearance since 2014, picked up where she left off Monday.
Nadal was however made to work harder in the second where the players exchanged breaks over six consecutive games.
The 31-year-old, now ranked 22nd in the world, had three aces and only committed two double faults to her opponent's 11.
He got something of a break in his Toronto opener, which was scheduled to be against Chung, who beat Djokovic in the fourth round in Australia. "You have to adjust".
Citi Open champion Zverev continued his good form with a straightforward 6-4 6-4 win over Klahn.
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