the problem is with the bank and not with Safari.
What happens when you try to download a statement?
Sometimes the download is accomplished in a separate, pop-up, window. Check to see if you have pop-ups blocked in Safari. You will find that feature under Safari in the menubar.
Alternatively, you could try Firefox and see what happens there.
Let us know
My bank cannot accomodate a statement download (2004 Quickbooks Pro 6.0) on Safari. I'm running OS 10.4.9 on a Dual 2 GHz PowerPc G5. My previous bank had the same issue. Is there a solution with Safari?