Playing in a "false nine" role, Messi capped a disappointing tournament with another subdued display at Kazan Arena as Argentina bowed out of the last 16 with a 4-3 defeat.
Messi, who has struggled for form in recent weeks due to a niggling injury, looked on a mission to grab the winner and after twice coming close he completed his treble to put Barca ahead in the 85th minute, reacting quickly to a poor Sevilla clearance to dink the ball over goalkeeper Tomas Vaclik.
Images from Day 2 of the Australian Open in Melbourne on Tuesday
Rafael Nadal ended his four-year wait for a ninth Monte Carlo Masters title by defeating Gael Monfils 7-5, 5-7, 6-0 on Sunday in his 100th career final.
World number one Roger Federer recovered from a set down to beat unseeded German Denis Gremelmayr 2-6, 7-5, 6-1 on Saturday to reach his first final of the year at the Estoril Open. He will now face the number two seed Nikolay Davydenko of Russia, who beat France's Florent Serra 6-2, 6-2 in the other semi-final.
World number one Roger Federer recovered from one set down to beat unseeded German Denis Gremelmayr 2-6, 7-5, 6-1 on Saturday to reach his first final of the year at the Estoril Open.
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.
All eyes were fixed on longtime rivals Federer and Djokovic as they took the court for the final match, combining forces to play together for the first time after Team Europe had swept the first three singles matches.
A late goal by Marcos Rojo gave Argentina a dramatic 2-1 victory over Nigeria in Group D on Tuesday and sent the twice champions through to the knockout stages of the World Cup.
News of all that's transpired on and off the football field
Sweden's preparations may have been hit by illness and injury but team captain Andreas Granqvist still believes that his side can score a first competitive win over Germany since 1958 to send the defending champions home early from the World Cup.
Portugal coach Fernando Santos left Bernardo Silva, one of the country's brightest young players, out of his final 23-man Euro 2016 squad on Tuesday but included 18-year-old Renato Sanches.
'Astad had the courage to plough a lonely furrow. He made a life of his own, on his own, and created a path-breaking dance style.' 'Only a few in the performing arts could do what he did.' 'A classical dancer can fall back on tradition, but Astad created something absolutely new.'
Barcelona have been haunted by their recent failures in the Champions League and there are concerning signs for the Catalans as they prepare for Tuesday's last-16 first leg away to Olympique Lyonnais.
Czechs beat Slovaks 1-0 to ensure Nations League B survival
National team jerseys made by Adidas are top of fans' shopping lists, followed by German flags, hats, balls, scarves and beer, while branded World Cup products such as watches and bed linen are much less popular, the survey showed.
Switzerland's Xherdan Shaqiri astonishing equalising goal against Poland in their Euro 2016 last-16 match brought back memories of great goals of the past from club and international football.
Malta make Italy sweat, while Bale takes Wales closer to competition
Aseem Chhabra lists the films that won his heart at the recent Toronto International Film Festival.
The world number seven said she needed time off to recapture her best form.
India's dream of breaking their 44-year-old last four jinx lay shattered as Ireland registered a 3-1 win via shoot-off in the quarterfinal of the women's hockey World Cup in London on Thursday.
Images from Day 2 of the Wimbledon tennis championships in London, on Tuesday.
Britain's world number three Andy Murray stressed the importance of gender equality in tennis, saying the work ethic required to succeed is the same for both men and women.
A round-up of all the international friendlies played on Tuesday
'A new caretaker manager will be appointed until the end of the current season, while the club conducts a thorough recruitment process for a new, full-time manager'
News of all that's transpired on and off the football field
Manchester City progressed to the knockout stages of the Champions League from Group F on Tuesday after twice coming from behind to draw 2-2 with Olympique Lyonnais, a team Pep Guardiola hailed as one of the toughest he has ever faced.
News of all that's transpired on and off the football field
Cristiano Ronaldo helped Juventus continue their unbeaten start to the Serie A season with a comfortable 2-0 home victory over struggling SPAL on Saturday.
News of all that's transpired on and off the football field
Croatia needed a touch of Luka Modric magic to beat Turkey 1-0 in their Euro 2016 Group D opener on Sunday, gaining a measure of revenge after their bitter quarter-final elimination by the same opponents at Euro 2008.
The rising Serbian star beat Martina Hingis 7-6, 6-2 to reach the semi-final of the WTA Dubai Open.
Lleyton Hewitt rallied to 3-6, 2-6, 6-3, 6-3, 6-3 win over American qualifier Michael Russell.
News of all that's transpired on and off the football field
A summary of the action on Day 3 at the US Open.
Former world number one Andy Murray won his first ATP tour singles match in nearly nine months with a 6-3, 6-7(6), 6-1 victory over American Tennys Sandgren in the opening round of the Zhuhai Championships.
Ousmane Dembele's late strike rescued a 1-1 draw for champions Barcelona at Atletico Madrid but Sevilla moved top with a 1-0 win over Real Valladolid. European champions Real Madrid were humiliated in a 3-0 defeat at Eibar.
Goffin stuns Federer to reach London final
Arsenal captain Thierry Henry will be out of action for several weeks while he tries to recover from nagging injuries, manager Arsene Wenger said on Monday.