ATHENS, Nov 13 (Reuters) - Greece's state-controlled bank bailout fund HFSF said on Monday it sold its 9% stake in Alpha Bank (ACBr.AT) to UniCredit after an improved bid by the Italian bank. UniCredit (CRDI.MI) announced last month it would become Alpha Bank's biggest investor by buying a 9% stake owned by Greece's HFSF and also agreed to acquire most of Alpha's Romanian business. Greece has been attracting significant investment as its economy strengthened after the crisis, prompting S&P Global to upgrade the country to investment grade in October. HFSF sold last month its 1.4% stake in Eurobank and is expected to proceed with the sale of about 20% of National Bank in next coming days. Reporting by Lefteris Papadimas; Editing by Tom Hogue and Stephen CoatesOur Standards: The Thomson Reuters Trust Principles.

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Persons: HFSF, Greece's HFSF, UniCredit, Lefteris Papadimas, Tom Hogue, Stephen Coates Organizations: Alpha Bank, Alpha, Athens Stock Exchange, Global, National Bank, Thomson Locations: ATHENS, Italian, Romanian, Greece, Eurobank