I can share with you some general tips on how to build your conversation with a partner.
You need to be lightly person in order to do so you need to google the most relevant information about your partner with whom you are going to talk about his background, his competence and focus, past projects. Maybe, you can even find any publications where he was an author. Through this, try to ask him the questions and find similarities with yourself: maybe you cam from the same school, town, or interested in the same topics. This will help you to establish both profesional and personal link.
When you reach out to person for example on a Linkedin you can also try to find some connections (city, country, school) to make your conversation work.
If you get a chamce to meet with a partner or have a virtual conversation, listen more than you speak, be an active listener. Partners normally like those person who are smart and listen to them. So make the partner feel great during this conversation. And I'm pretty sure that afterwards he will be eager to help you to get into the firm, which is your ultimate objective.
Hope it helps you,
Also, I'm helping candidate with referrals, so if you need any help or more information, just drop me a message,