The timeshare week will go to foreclosure auction. In most cases, the HOA (or developer if foreclosing on a timeshare loan) will bid what they are owed for the timeshare. If no one else bids then the HOA (or developer) takes over title. What happens after that can depend on the state where the property is located. In a recourse situation they could try to get an additional judgement for the deficiencies owed or write off the debt. In a non recourse state, they can't go after any deficiencies. If they write off any deficiencies they can possibly issue a 1099-C (usually the case in a timeshare loan) which could have certain income tax implications.