Unlike Anima, Fineco and Mediolanum are banks meaning they gather deposits and also sells securities which they then administer on behalf of clients.

Anima only manages investment funds which it distributes through banks, while Fineco and Mediolanum rely on networks of financial advisers.

Anima, whose main shareholder is Italy's third largest bank Banco BPM, said net outflows totalled 286 million euros ($311 million) last month, after outflows of 470 million euros in January.

Anima posted inflows into higher-margin investment products, such as alternative funds, but it was hit by 202 million euros in outflows from its mutual funds.

"We trust that this trend ... is on the verge of diminishing," Anima CEO Alessandro Melzi d'Eril said.

Attractive rates on Italian debt last year prompted droves of small investors to pour their savings into Rome's government bonds, which have a favourable tax treatment and no fees.

To lure savers, Mediolanum has been offering time deposits with high rates in the hope of then being able to divert those funds into managed assets.

It is currently offering six-month deposits at a 5% yearly rate.

It reported net inflows of 1.18 billion euros for February, of which 441 million euros were more profitable managed assets such as mutual funds and insurance policies, while the rest of the cash went into administered assets.

Online broker Fineco reported net inflows of 845 million euros in February as it added 12,486 new clients during the month.

Inflows into managed assets totalled 269 million euros, while 647 million went into administered assets. ($1 = 0.9190 euros)

(Reporting by Alberto Chiumento; Editing by Valentina Za and Keith Weir)