About two months ago, I canceled my BA Chase card. Then a couple weeks ago I applied for both the CO and the UA cards at the same time and got rejected on both for having "too many applications for credit with us." I called Chase the other day and spoke to a woman who said something like "oh, I guess we're seeing other applications from your household" (which wasn't accurate) or something to that effect, and she went ahead and approved my CO card for a $10k limit. Not wanting to be greedy, I thought I'd leave the UA card be and just reapply later this year.

The next day, though, I was feeling greedy, so I called again. The woman said "but I see you just got approved for another Chase card," so I said "oh, I didn't realize that you couldn't apply for two cards at the same time." She balked and then said, "well, let me check it out for you." A few minutes later, she came back saying she had split my $10k limit into two, one for each card. An easy 100k UA miles. Of course, YMMV.