Whatever you do, make sure you speak directly and plainly. I can't tell you how many friends of mine have botched networking opportunities because they either 1) tried to fit 10 minutes of information into 2 minutes, or 2) sounded too desperate/rushed over the phone.

Remember, you're not on these calls to knock their socks off; you're on these calls to 1) express your sincere interest in their work, 2) show that you are willing to learn, 3) prove that you are articulate and intelligent, and 4) be generally likable to them so that they would be willing to continue speaking with you and eventually speak to recruiting/HR on your behalf.

(editiert)

Hello Anonymous A,

Getting two partners to respond via a cold-LinkedIn message is an impressive feat.
Could you mind shedding some light on what exactly you wrote, and did you have anything else in common with those Partners, such as school?
TIA.