The Football Association is willing to explore goal-line technology.
Healy appeared to score when Boro keeper Mark Schwarzer failed to hold his injury-time shot and replays showed the ball crossed the line.
An FA spokesman said: "We understand the debate around technology and it's something we are keen to explore."
The FA spokesman added: "It's always going to be an important talking point after these incidents.
"FIFA rules clearly state that a referee must take decisions based on what he sees on the field of play and cannot refer to video replays at any time during the game.
"However, there have been experiments with goal-line technology which sends an instant signal to the referee telling him whether the ball is over the line, without using video replays, and there is currently a trial going on at Reading.
"It would need FIFA's approval before it could be introduced more widely but it is something we are very keen to explore fully."
The mastermind of the Hawk-Eye system used in tennis and cricket, Paul Hawkins, is overseeing the trials to determine if a ball crosses the line or not for the Premier League, which are taking place at Reading's academy.