996 players and club staff were tested this week. Per protocol, no player can train without being tested, and testing will be conducted twice a week at each club.
They will now be required to self-isolate for a seven-day period.
On Wednesday, the 20 Premier League clubs will hold a meeting about training protocols.
It is significant that since the players' move, Barber has been more conciliatory towards the concept of the Premier League restarting, having previously complained about neutral grounds and a risk to life.
A total of 996 tests were carried out on Tuesday, Thursday and Friday, following on from the six positive tests among three clubs in the first round of tests. "Any increase in positive tests during phase two would probably put the whole thing in jeopardy".
The overall tally of positive tests across the Premier League has since risen to eight and all of those who did test positive for covid-19 will now self-isolate for seven days.
The drop in confirmed cases is obviously a positive thing, but there remains an air of negativity around some clubs in the Premier League.
Mariappa's team-mate Troy Deeney said he would not resume training this week out of concern for his son's health, while Chelsea N'Golo Kante is reportedly prepared to miss the rest of the season over safety concerns. I would say that so far in training I have come into contact with as many people as I would visiting the supermarket or going for a morning jog round my estate.
"Subject to Government and Premier League shareholder approval, including input from medical staff and players, we anticipate domestic games could restart again in June".
"While no one in the football industry enjoys seeing football without fans in the stadiums, the TV audiences attracted to the German matches demonstrates the strong pent-up demand for live football after a two-month absence".
Among the top European leagues only the Bundesliga has resumed.
"It is the first step and we have to be sure when we go to contact training we have completed those processes".