I hate to give founders this advice, but I feel like I need to say it.
I ran the numbers, and about 2/3 of founders who reply after I pass ask whether I can introduce them to other investors.
I completely understand why.
Fundraising is hard, and one good introduction can change a round. But the honest answer is that I am unlikely to make those introductions unless someone specific immediately comes to mind (which is rare).
It is not because I do not want to help.
An introduction is a small endorsement, and if I have just decided not to invest, it can be hard to turn around and recommend the company to someone else. I also don't want it to send a negative signal to investors about the founder/company.
There are exceptions. Sometimes I pass because the stage, geography, check size, or category is just not a fit. If I know someone who makes more sense, I will usually offer the introduction when I pass.
Generally, though, I would not ask after a pass.
With that said, if you feel the need to ask, I would just make the ask very specific.
“Would you be comfortable introducing me to X? They seem like a fit because Y” is much easier to answer than “Do you know any other investors?”
I know this is probably not what founders want to hear. I am saying it because their time matters too. A generic ask after every pass is unlikely to change the outcome, and if an investor has someone obvious in mind, they will usually tell you.
Hopefully this is helpful.
p.s. I have seen
@bzises do a nice job of sharing a list of investors on his website, a solution I might steal.