Following the game, Dundee FC officials said the scenes at the game were a "throwback to the 70s" and that fans and stewards were abused as Celtic supporters fought among themselves.
Milner, 24, will not be able to play in City's Europa League game at FC Timisoara but is available for Monday's Premier League visit of Liverpool.
On the opening day reigning champions Ports Authority take on the 2008 runners-up Kallon FC in a league game that will also double as a first ever Super Cup match.
In the group's other game, Santos FC of Angola beat AS Vita Club of DR Congo 1-0.
At a home game for Barcelona FC, it is clear that for fanatic supporters, Barcelona is the national side.
In the other game, Moldovan champions FC Sheriff Tiraspol ended the 17-match unbeaten run this season of Dutch high-fliers Twente Enschede with a 2-0 home victory, leaving both teams on four points.
The La Liga giants will then compete in the Peace Cup in Spain, where their opponents include Aston Villa and Celtic, before heading to Canada, where they will face Toronto FC, and Washington, for a game against DC United.
Child, who is in his third season as a Super League referee, awarded 27 penalties during the game, as well as dismissing Hull FC player Sean Long and sin-binning Lee Radford.
Also postponed was the National Women's Soccer League game on Saturday between the Boston Breakers and FC Kansas City in Overland Park, Kan.
His first league game is scheduled to be Aug. 5 at Toronto FC.
Brazilian soccer star Neymar da Silva Santos Jr. said Saturday that he will join FC Barcelona next month in a lucrative move that will see one of the game's most coveted players sign for one of its most glamorous teams.
Hull FC took the points from the first meeting of the two clubs this season, winning a thrilling game at the KC Stadium 22-14.
Meanwhile, in the other group game, Senegalese striker Dame Ndoye's first-half goal proved the difference as FC Copenhagen recorded their opening victory with a 1-0 win over Sparta Prague.
Blackpool FC has banned two fans who sold on tickets which led to ugly scenes in the club's play off game against West Ham at Wembley in May.
The game looked to be heading for a goalless draw, just as the Dutch side's clash with FC Timisoara had done a fortnight ago, until substitute Dennis Rommedahl broke the deadlock for visitors Ajax 18 minutes from time.
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