In a tightly contested first quarter, the two sides saw many lead changes before it was knotted at 21-all.
Vasco are now fifth in the standings with 18 points while Brangatino are 17th, seven points further back.
"We faced a team that attacked with many players and it was a different match compared to the one against Sampdoria. We wanted to keep the line tight, put pressure on the central players and exploit the one-on-one in attack, but we weren't always able to find solutions, after all we were playing against a solid team and we knew we would have difficulties," said Pirlo.
Lincoln put the hosts ahead with a low strike after a counter-attack in the 26th minute and Fiorentina loanee Pedro capitalized on Gabriel Barbosa's unselfish slide-rule pass to double the lead on the half-hour mark.
Arsenal had beaten Liverpool in the Community Shield a month ago and took the lead on Monday night thanks to Alexandre Lacazette in the 25th minute after a rare error from Liverpool defender Andrew Robertson, who sliced a routine clearance into his path in the 24th minute.
Meanwhile left back Marcelo is also struggling with a back injury and Ferland Mendy will continue in defense.
The result leaves Leeds with six points from three games, while Sheffield are still looking for their first point of the season.
Roberto Soldado will probably replace Jorge Molina in the Granada starting 11 on Thursday, while the Darwin Machis will also probably start with Antonio Puertas perhaps dropping to the bench for the Chinese owned club.
Chelsea boss Frank Lampard benched much-criticized goalkeeper Kepa Arrizabalaga and replaced him with Willy Caballero, but his side trailed 3-0 at the break as Callum Robinson netted in the fourth and 25th minute and Kyle Bartley made it 3-0 in the 27th minute.
Barca are still working in the transfer market, however, with Ousmane Dembele now linked to a move to Manchester United as the club chases Memphis Depay - a personal request of Koeman's.
The next stage will begin with a two-legged knockout round from October 16. Enditem