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Welling have become the latest club to be served with a winding-up petition by HMRC.
The Wings are believed to owe a substantial five-figure sum and could be wound up later this month after a proposed takeover fell through.
The takeover would have seen the Hobbins family relinquish control of the club.
In a statement released by the club on Thursday morning, they said: "The club wishes its supporters to know that its been served with a winding-up petition brought by HMRC which is due for hearing later this month.
"The matter looked to have been resolved until last weekend when a new owner, who seemed certain to secure the club's long term future, disappeared just before completion of the deal.
"All season ticket holders have been sent full details of the situation, and other supporters will receive similar information at the match on Saturday. Meanwhile the club remain optimistic that everything can be resolved with the backing of those who wish to see The Wings not only survive but prosper in the future."
The club are interested in hearing from potential backers, contact the club on 020 8301 1196.