Scrapping the game's standard 45-minute half is the most startling proposal brought by the International Football Association Board (IFAB).
Under the proposals, Ghana would have been awarded a penalty goal for Luis Suarez's infamous handball at the 2010 World Cup.
Instead of teams taking alternate penalties, the new system involves team A taking the first kick, then team B taking two, then team A taking two.
Ifab says the Fair Play! has three aims - to improve player behaviour and increase respect, to increase playing time and to increase fairness and attractiveness.
The IFAB said that this change is due to their belief that football matches only see about 60 minutes of "effective playing time" from the 90 minutes that are available. "To discourage them further, if an attacking player enters the penalty area before the penalty kick is taken the kick is "missed"; if a defending player does the same and the kick is missed/saved it is retaken".
IFAB said some of the proposals could be implemented immediate while others are "ready for testing" and some are "for discussion".
They include cutting playing time down from 90 to 60 minutes, handing out point deductions to teams who protest decisions made by the referee and all saved penalties resulting in a goal kick, thus preventing teams from following up their spot kick from the rebound.
The strategy document, called Play Fair, will be discussed over the next few months, before the 2018 IFAB annual general meeting, in March, which will decide which proposals should be trialled in competitive matches.
Adopting two halves of 30 minutes with the clock stopped when the ball goes out of play is one of dozens of ideas put forward by Ifab in an attempt to make football more attractive, reports The Guardian.
Still, those were exactly the amounts of stoppage time added to the Russia-New Zealand game by referee Wilmar Roldan of Colombia.
Arsenal goalkeeper and former Czech Republic goalkeeper Petr Cech welcomed the idea, saying timewasting is a big problem in the current format given the clock does not stop.
One of IFAB's particular gripes is with time wasting.