Goffin's 6-3, 6-3, 6-2 triumph in front of a boisterous home crowd gave Belgium a 3-1 lead and sent them into a home semi-final against Australia who also wrapped up victory over the United States thanks to Nick Kyrgios's defeat of Sam Querrey.
World No 2 Andy Murray overwhelmed Italy's Andreas Seppi 6-2, 7-5 and second seed Rafael Nadal crushed veteran Italian Paolo Lorenzi 6-1, 6-1 to reach the China Open second round on Tuesday.
Leander Paes and Scott Lipsky progressed to the semifinals of the ATP Geneva Open after getting a walkover from their opponents Rogerio Dutra Silva and Paolo Lorenzi.
Novak Djokovic kept cool in stifling Melbourne heat to kick off his Australian Open title defence with a straight-sets thrashing of Italian Paolo Lorenzi.
Images from the US Open mathches played at Flushing Meadows on Tuesday.
Rafael Nadal flirted with a shock defeat at the Rome Masters as Novak Djokovic stretched his unbeaten run and Roger Federer eased through on Wednesday.
Rafael Nadal's day-glo outfit and his ferocious forehands lit up a gloomy Queen's Club on Wednesday as the Spaniard marked his return to grass with a 6-2, 6-2 demolition of Brazilian journeyman Marcos Daniel.
Tommy Robredo demolished fellow Spaniard Feliciano Lopez 6-2, 6-2 at the Barcelona Open.
India's Somdev Devvarman has qualified for the ATP 500 China Open after he beat Italy's Paolo Lorenzi 3-6, 7-6, 6-3 in the final qualifying round of the tournament.
Fourteen-time Grand Slam champion Rafael Nadal has entered the quarter-finals of the ATP Acapulco tournament with a comprehensive straight-sets victory over Italy's Paolo Lorenzi.
The 35-year-old's first match back in action last week at the Stuttgart Open was a flop when he suffered a shock loss to German veteran Tommy Haas, ranked 302 at the time, despite leading for a set and a half.
India's top ranked men's singles player Prajnesh Gunneswaran crashed out in the pre-quarterfinals of the Tata Open Maharashtra after suffering a straight-sets defeat against fourth seed Kwan Soon-woo of Korea, on Thursday. Prajnesh lost 3-6, 6-7(5-7) against the Korean at Pune's Mhalunge Balewadi Stadium.
Serena Williams will try to take a step closer to history on Saturday when she plays her third-round match at the US Open.
India's Sumit Nagal put up a strong fight before going down in three sets to Serbian Vicktor Troicki in the men's singles opening round in the third edition of the Tata Open Maharashtra, in Pune, on Monday.
Images from Day 6 of the 2016 US Open tennis tournament in New York, on Saturday.
France will meet Serbia in the semi-finals of the Davis Cup after both finished off their last-eight ties inside two days on Saturday but Australia and Belgium were made to sweat.
Serena Williams moved another step closer to a record-tying 24th career Grand Slam title with a comfortable 6-3, 6-2 victory over Czech Karolina Muchova on Friday to reach the last 16 at the US Open.
Playing alongside Australian partner Matthew Ebden, the eight-time doubles Grand Slam champion Leander Paes showed his class during a clinical victory over defending champion and second seed Sharan, who was playing alongside New Zealand's Artem Sitak.
Andy Murray said on Thursday the noise created by the US Open's new retractable roof over Arthur Ashe Stadium is a distraction to players and makes it difficult to react to opponents' shots.
Britain's Andy Murray enjoyed a routine win over Argentina's Juan Monaco to ease into the third round of the tennis tournament at the Rio Games on Tuesday, while Spain's world number nine David Ferrer was knocked out.
Raucous home support for holders Argentina did not make up for the absence of Juan Martin del Potro and Federico Delbonis on Friday as they fell 2-0 behind to Italy in the first round of the Davis Cup.
A summary of sports events and persons who made news on Thursday
A summary of sports events and sports persons, who made news on Sunday.
Garbine Muguruza's preparations for next week's Australian Open were thrown into disarray when the world number three pulled out of the Sydney International with a thigh injury on Wednesday.
Top seed Dominic Thiem was knocked out the Rio Open in the first round on Tuesday, going down 6-3, 6-3 to Laslo Djere.
Tournament favourite Novak Djokovic beat Finnish veteran Jarkko Nieminen 6-2, 7-5, 6-2 on Tuesday, kicking off his quest for a first ever Paris trophy to add to his eight other Grand Slams.
The Danish World No 3 ended 2017 with the biggest title of her career in Singapore and returned a day after thrashing Madison Brengle in her season opener to hit 21 winners against eight unforced errors in the 53-minute win over Martic.
Images from Day 1 of the US Open in New York, on Monday.
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