How can you figure out if the other party is under pressure to close the negotiation? How can you turn it to your advantage?

Appreciate invitation.

Let the other side know that we both have reached to finalize everything and is the time to close the meeting. If other party still have genuine conflicts & want to leave, react as if you have allowed him to go and you get up from the seat before him with the question if he intends to review or you should go for another supplier. At that moment use your "Emotional Intelligence" skill, focus to his body language, movement of hands and eyes, notice what and how he speaks and does his statement matches to his body language. Perhaps he is not experienced to decide or not authorized to agree with the terms you had convinced him. Unless otherwise he will remain seated. DO NOT let the meeting close, sit again, use your best "Negotiation Power" and "Conflict Management Skills", listen to his reservations, evaluate his points and try to accommodate if you think you have already achieved what you wanted and can offer a bite from your share, and mature the deal before you close the meeting.  

 Simple Step:  Do Your Home Work Prepare for the Negotiation You must understand the issues thoroughly and go in prepared. Do your homework and know as much as you can or you're not going to get too far in the negotiating process. Don't try to wing anything! The old saying is so true in negotiating, Knowledge is Power!

 Also reverse the role playing and place yourself on the other side of the table. This will help you to understand your opponent's position. Understanding your opponent is one of the most powerful tools in a negotiation, and it will help you better prepare yourself.

I should wait for answers, But I think it depends on your Knowledge about the other party and its culture

You need to work on gaining body language experience to understand the other person you are negotiating with.  This helps a lot in giving you early alarms if the other party is frustrated with what you are approaching or when do you need to use another technique.