Dunham, who was replaced at HSBC by Ernst Osiander, joined the firm in 2011 from the Bank of International Settlements.
According to Barings, which had £8.1bn in fixed income assets under management at the end of March, Dunham will be responsible for the management of a role of global and aggregate portfolios on behalf of institutional clients.
He will also, Barings says, be involved in the management of global pooled bond funds.
He will report to Baring’s global head of fixed income, Alan Wilde.