Humberside Police confirmed it has received no complaint from Meyler or the Tigers and are happy to let the Football Association deal with the matter.
Chief Inspector Rich Kirven said: "We have been working with the FA and the football club to progress the matter appropriately.
"Having reviewed the circumstances of the incident, it has been agreed that the matter will be dealt with by the FA rather than considering any criminal proceedings.
"There has been no complaint received from the player involved or Hull City Association Football Club at this time.
"Whilst we appreciate that some people may have found the behaviour displayed at the game on Saturday offensive, Humberside Police will not be taking any further action."