Don't panic or reflexively drop the price. Stall for time to think. Ask for a few minutes to disengage, saying something like, "I'm in the middle of something else right now. I can take a look soon and call you back." Alternatively, you can ask, "So we'll know one way or another after your meeting?" If the buyer says no, then it could be a bluff. If it's a yes, take time to think and call back with a bargain you want. But be aware that this can be a power play on their part. If you cave, they'll expect it in the future.