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I settled with Chase back in 2004 - paid about $10K on 18K worth of cc debt.
I got back in last August. Never had tried before that - so who knows.....but they did let me in
Chase will let you back in. I burned them way back in the day, and settled for less. It is no longer on my CR. And now I have 3 cards with them. They did ask about why I defaulted though (they will keep those records in their systems indefinitely). I have noticed they are a bit stingier with limits. And I have not gotten a CLI yet. My oldest one is over 2 years old.
Chase will let you back in. I included them in BK almost 10 years ago. They gave me a mortgage, I bank with them, and have 2 Chase cards (possibly 3- got 2 week msg)