Mexico and South Korea got Group B underway with a goalless draw at St.
After a tense, goalless opening period, Matt Foord put the home side ahead from close range.
Hoolahan, 28, missed a penalty against league leaders QPR in October, a game which finished goalless.
The goalless defeat further extends Greece's unenviable record of never having scored at the World Cup finals.
Both sides went close to scoring in an entertaining first half but it remained goalless at the interval.
Braga held the Reds to a goalless draw at Anfield after winning the first leg 1-0 in Portugal.
Bottom-of-the-table Augsburg played out a goalless draw at Hoffenheim in a game overshadowed by concern for Boris Vukcevic.
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Udinese's disappointing start to the season continued after they were held to a goalless draw by Genoa .
Plymouth slipped to second in the table after being held to a goalless draw at home by Southend.
Levein also praised the fans, despite the team being booed off the park after a goalless first half.
Atletico, which took a 3-0 lead to Getafe for the second leg, claimed a goalless draw to progress.
World champions Italy continued their goalless run with a 0-0 draw with Switzerland in their friendly in Basel.
In Italy, Serie A leaders Juventus dropped their first points of the season in a goalless draw at Fiorentina.
Atalanta recorded a 2-0 win at Siena courtesy of Giacomo Bonaventura's double, while Torino and Palermo's game ended goalless.
But with a goalless draw looking likely Baines put England in command when his unstoppable effort flew past Rensing.
Colchester emerged with their first goalless draw of the season after enduring a tremendous Plymouth onslaught at Layer Road.
In the night's other game, Malaga escaped with a goalless draw at La Rosaleda after holding Borussia Dortmund .
But at half-time, with the Bairns goalless against St Johnstone, Killie had moved to the bottom of the table.
Inter moved to 59 points, with Milan their nearest challengers after being held goalless by AS Roma on Saturday.
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Herve Renard's side was held to a goalless draw by group winners Burkina Faso in Nelspruit, South Africa Tuesday.
United were held to a goalless draw, whereas Liverpool earned an impressive win over their Romanian opponents at Anfield.
Brazil and Portugal played out an extremely uneventful goalless draw which ensured both sides qualified for the last 16 .
Darius Vassell gave City the lead from the spot early in extra time after the first 90 minutes finished goalless.
BBC: SPORT | Football | League Cup | Doncaster 1-1 Man City (aet)
In the two warm-up matches prior to this, South Africa secured a goalless draw with North Korea and beat Jamaica 2-0.
Chelsea held Arsenal to a goalless draw in the Premier League on Saturday and a repeat result here would be ideal.
Zanzibar held guest side Zambia to a goalless draw in normal time and the game then went straight to spot kicks.
The 35-year-old defender was carried off during the first half of Leeds' goalless draw with Wolves in the Championship on Saturday.
Supporters voiced their disapproval of under-fire Adams at Tuesday's goalless draw against League Two side Luton in the Johnstone's Paint Trophy.
He compared the game against Russia to when England earned a goalless draw with turkey in Istanbul to qualify for Euro 2004.
The financially-troubled Blue Brazil will be in First Division for the first time in almost 20 years following a goalless first leg.
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