An unusual meeting Thursday between Attorney General Eric Holder and the chief executive of JP Morgan Chase could push the price tag of a potential settlement between the bank and the US beyond $11 billion, according to people familiar with the discussions.

James Dimon, accompanied by two of his top legal advisers, spent about 45 minutes with Holder discussing a potential deal to resolve outstanding probes of the bank's past work in mortgage-backed securities and settle potential criminal and civil charges against JP Morgan.