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Becker, who won Wimbledon aged 17 and went on to win six Slams, said it was the mental aspect of the game more than anything that set Nadal, Federer (37) and Djokovic (32) apart.
The only drama came early when Goffin, seeded 15th, broke Federer to take a 2-1 lead in the first set but the Swiss broke back in the next game and cruised to the finish line.
Coming into the US Open, the 78th ranked Dimitrov, dubbed "Baby Fed" because of the similarities between his game and Federer's, did not look much of a threat, posting just one win from his last eight matches.
Rafael Nadal and doubles partner Stefanos Tsitsipas were beaten by Nick Kyrgios and Jack Sock in the final match of the day as Team World cut down Team Europe's lead to 7-5.
The 22-year-old earned a string of new admirers at Flushing Meadows when he came out swinging in his Grand Slam main draw debut to win the opening set against Federer at a packed Arthur Ashe Stadium.
Federer finishes second in Group Bjorn Borg, behind Thiem, who also beat Djokovic earlier this week. The Swiss will face the Group Andre Agassi winner on Saturday.
Earlier, Stefanos Tsitsipas shocked six-time champion Roger Federer 6-3, 6-4 to reach the final of the ATP Finals in his tournament debut.
'My retirement is going to depend on my health. At this moment I see no reason to stop,' said the Swiss maestro.
The six-time champion was not at his fluent best on Tuesday but ultimately had too much for Berrettini, who won just three games against Novak Djokovic in his opener.
Nadal added a fourth Davis Cup final success -- three more than Roger Federer -- to the ones he claimed in 2004, 2009 and 2011 while capping a remarkable 12 months that has included winning the French and US Opens, and ending the year as world number one.
Results 101-110 of 131
