Early career Born in Máximo Paz,
Constitución Department, Santa Fe, Vergini was a
Vélez Sársfield youth graduate, but only appeared with the reserves in the lower leagues. In June 2009, he signed a two-year deal with Paraguayan side
Club Olimpia, and made his professional debut on 13 September, in a 0–2 home loss against
Club Libertad. Vergini scored his first goal on 7 November, netting the second in a 2–1 home win against
Sportivo Luqueño. He finished his
first professional year with 12 appearances and one goal, as his side finished fifth. On 1 September 2010, Vergini was loaned to
Lega Pro Prima Divisione team
Verona, in a one-year deal. He appeared in 15 matches, scoring a goal against
Bassano Virtus.
Newell's Old Boys On 26 July 2011 Vergini signed for
Newell's Old Boys. He made his debut for the club on 2 September, playing the full 90 minutes in a 0–0 home draw against
Colón de Santa Fe. An undisputed starter for
La Lepra, Vergini appeared in 32 matches and scored three goals in
2011–12 (against
Olimpo,
Banfield and
Unión Santa Fe). He was again ever-present in
the following campaign, as his side reached the semi-finals of
2013 Copa Libertadores.
Estudiantes On 1 August 2013, after being linked to a possible move to
Barcelona, Vergini joined
Estudiantes. He appeared in 17 matches, scoring one goal (against
Godoy Cruz on 16 November).
Sunderland On 20 January 2014, Vergini secured a loan move to
Premier League side
Sunderland for the remainder of the
2013–14 season. He made his league debut on 8 February, replacing
Fabio Borini in the first half against
Hull City after the dismissal of regular centre-back
Wes Brown. Vergini made his first start on 22 February away to
Arsenal. He was also an unused substitute as Sunderland lost the
2014 Football League Cup Final 3–1 to
Manchester City at
Wembley on 2 March. After several games playing in central defence, manager
Gus Poyet slotted Vergini into the right back position due to injuries. He helped Sunderland avoid relegation to finish 14th in the
Premier League. On 7 August 2014, he re-signed for Sunderland on a season-long loan for the
2014–15 campaign, with the deal becoming a permanent two-year contract after the Black Cats avoided relegation. In October 2014, Vergini scored an
own goal during a Premier League game against
Southampton, volleying from the edge of the penalty area past goalkeeper
Vito Mannone. Luke Perry of the BBC described it as "one of the Premier League's most spectacular own goals". It was the first goal in an 8–0 away defeat for the Black Cats.
Getafe (loan) On 16 July 2015 Vergini was loaned to Spanish
La Liga side
Getafe in a
season-long deal, with a view to a permanent transfer.
Boca Juniors In June 2016, Vergini returned to his home country and signed with
Boca Juniors, for an undisclosed fee.
Bursaspor On 28 August 2018 he has signed a two-year deal with
Bursaspor.
San Lorenzo Ahead of the 2019–20 season, Vergini returned to Argentina and signed a three-year contract with
San Lorenzo. ==International career==