They will and can get along with time and careful supervision at first. If your tiel is free to roam around the room/area where your birds are located, sit and watch to see how he reacts when he hears the conure and is near or even standing on top of the conures cage.
When the conure is allowed out of the cage and comfortable with you and has on hands training then you can let him out as well and let the 2 birds hang out on top of one of the cages. Leave a tray/plate with a few assorted fresh foods and treats on the cage and allow the birds to eat together .... and they will. Birds (even different types) like to eat together its how flocks keep safe during a vulnerable time while eating and drink. Better to be in a bunch then alone ....
Stay in the room at all times when they are free and near each other. It's good to bee cautious. All in all I think you will have a great time watching them get to know each other and soon happily be friends.