Oh, you did the "I bought a second bird for my first bird...but now what do I do with the second bird" thing, lol...Well, time to start working with the second bird then...First of all, what kind of Conure is your first bird, and what kind of bird is the new bird?
Not that this matters much to the training aspect, but background of the bird does help to understand the situation a bit...
Start out by just putting a chair in the same room as your bird is in his cage, and move it as close to his cage as you can, until he starts to get upset about it. Then put the chair at that spot, and that's where your starting-point is. Find a book to read to him gently, softly, make it obvious to him that you're reading it to him. You can also turn on the TV and just sit there watching it with him, occasionally talking to him, etc. Try to at least spend 1 hour a day doing this, more is better, but an hour a day is the least amount of time you need to spend each and every day...and then each day you try to move the chair a little closer to his cage, stopping when you reach the point that he is uncomfortable.
Once you get to the point where you're able to put the chair right next to his cage and sit with him talking to him, then the next step is to open the cage door and do the same, read to him, watch TV with him, etc. Once he's okay with you right next to the cage with the door open, that's the point where you need to start simply resting your hand inside the cage for an hour a day at the least, this is where watching TV becomes handy...Each day you try to move your hand closer and closer to your bird inside his cage, and once you're at the point where you can almost touch him, this is where you want to start putting a millet spray in your hand, and trying to get him to eat from the millet spray while you're holding it. Millet sprays work really well because you can hold them out away from your hand and they feel comfortably eating from them because they don't actually have to approach your hand...And once you get to the point where the millet is no longer sticking out of your hand but rather just resting in the palm of your hand and the bird is eating "out of the palm of your hand", that's when it's time to start trying to get him to step-up for you. You do this by holding the millet spray inside the palm of your hand and allowing him to eat from it, and then simply extending your index-finger and attempting to get it right above his feet, touching his tummy. Eventually he'll step-up onto your finger while inside his cage and he'll continue eating from the millet spray. Once this happens, then you work on slowly moving him towards the cage door while on your finger, until one day you can get him out of the cage on your hand. Then once you accomplish that, then you eliminate the millet spray and just start getting him to step-up onto your hand inside of his cage without the millet spray, and then slowly getting him outside of his cage on your finger...
Realize that this process is a marathon, not a sprint. This will take weeks with some birds, months with other, years with others. That's where the background/history of the bird comes into play...You said you told "them" that you needed a completely tame bird, I don't know who "them" was, a pet shop, breeder, former owner, etc. But if this bird was not hand-raised by his breeder, but rather parent-raised, then it will most-likely take longer to tame him. If he was hand-raised by his breeder but just hasn't been given much attention at all since he left his breeder, that usually makes it a bit easier to tame them again. It just depends on each individual bird...
The important thing is to never give-up, because if you give-up, then you'll have to start-over again each time you decide that you want to try to tame him again. It's easy to get frustrated and discouraged throughout this process, but you just have to keep at-it, and it will happen, BUT AT THE BIRD'S PACE, NOT YOUR PACE...