Premier League clubs anticipate having to start individual negotiations over wage reductions with their players after attempts to reach a collective pay agreement in response to the coronavirus crisis were frustrated during talks on Saturday.

While players have been told clubs may lose £1.137bn because of the disruption caused by the pandemic, the Professional Footballers’ Association has responded to the Premier League’s proposals of a 30% pay cut by saying that would be detrimental to the NHS.

The proposal will be discussed among squads with a view to reaching a collective agreement by the end of the week but the PFA has remained defiant in the face of mounting pressure, arguing cuts would lead to a £200m tax deficit.

There was hope before Saturday’s conference call, which involved managers, captains and representatives of all 20 Premier League clubs, that an agreement would be reached over wage reductions, deferrals or a combination of both. Many top-flight clubs are worried about their income drying up while the season is suspended and some have already put non-football staff on furlough.

While Manchester City said on Sunday they will not place any staff on furlough, Liverpool invited criticism after announcing they had joined Newcastle, Tottenham, Norwich and Bournemouth in claiming 80% of non-playing staff wages from the government scheme.

However, one source had urged caution before Saturday’s meeting, suggesting talking the PFA round would be difficult. There is now a growing feeling clubs will eventually be forced to conduct direct negotiations with their own players, which could drag the problem out even further.

There is frustration on both sides. Players are upset at being portrayed as greedy – last week’s comments by the health secretary, Matt Hancock, that footballers “should play their part” did not go down well in dressing rooms – and have stressed they are willing to do their bit. Hancock was invited to be a guest on Sky’s Monday Night Football programme by Gary Neville after the cabinet minister suggested on Sunday players should donate a portion of their wages to struggling hospices.

Neville wrote on Twitter: “Hey @MattHancock seeing as though you’re focusing on football so much can you come on @SkySportsMNF this week? Special edition . Questions from the football community / fans will be presented by me , @DavidJonesSky and @Carra23.”

Liverpool captain Jordan Henderson has established a fund for professional footballers to donate directly to NHS staff. Photograph: David Blunsden/Action Plus/Shutterstock

The Liverpool captain, Jordan Henderson, is behind plans to establish a coronavirus fund that will allow players to donate directly to frontline NHS staff. Players want to be sure clubs are not opportunistically looking to save money by reducing their pay. They have sought assurances the money will protect lower-paid colleagues and would also like owners and directors to make the same commitment. There is confusion over where the money is going. The feeling is there would be no benefit to society if the wages are simply going back to the clubs rather than to charities and frontline services.

There are many examples of players doing their bit, such as Manchester United’s Marcus Rashford raising £20m to provide meals for vulnerable children, and the rush to accuse footballers of being out of touch has led to a backlash. Wayne Rooney, who plays for Derby, used his Sunday Times column to accuse the government and the Premier League of putting footballers in a “no-win situation”. Neville, the former United and England defender, was equally critical, saying the league took too long to postpone matches and taking aim at clubs who have already used the furlough scheme.

Clubs are also in an unenviable position. They have told players the Premier League faces a financial penalty of more than £750m if the season does not resume and broadcasters demand refunds on games that are not played. They will also suffer losses in gate receipts if games are played behind closed doors and are unable to start selling next year’s season-tickets.

The clubs are frustrated their concerns are not being taken seriously by the PFA, with one executive privately questioning whether Gordon Taylor, the head of the union, plans to take a pay cut.

The situation is complicated by doubts over when the season will resume. While a solution will need to be found for players whose contracts run out in June, it is also understood some players could have reservations over returning to action because of health and fitness concerns.