I don't have any confirmed news about any bank dealing or investing in Bitcoin but yes, there are many such banks who have invested in Ripple.
Ripple works as a bridge currency between banks and countries which makes easier for customers to take the benefit of Blockchain technology without actually using it (XRP).
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More than 75 banks are now on Ripple's blockchain network.
However, it is a private blockchain network and ripples are issued to banks at a discounted price.
Yes,even in india,a major bank SBI deals with Ripple.Its even said that ripple was created as a competitor to bitcoin by some bankers itself.But just like other altcoins,it wasn't able to compete with bitcoin.
Banks see bitcoin as their main rival and the matter for what they were afraid of bitcoin has come true since most people have started to use bitcoins for transactions.I don't think that any banks would do such an act of investing in bitcoins.Banks have only accepted the block chain system and not bitcoin.