Its best to feed the pet and stable it and leave it there for one week to allow it to bond. If you are out with your tamed and not-yet-bonded pet and it dies, you cannot resurrect it. Once your week is up, unstable it, feed it. It should bond. If it doesn't then its not done cooking. Restable it and try again in a few hours; your timing was off. Feeding it everyday during the week in the stable is unnecessary.

Pet Summoning Balls: Do not work while you are in Ilsh, however, if your pet is left there and you are back in Malas, Tram or Fel or the new SE Islands, you can summon your pet from Ilsh. If you want to go play somewhere in Ilsh but don't want to drag that pet around to that area (since you can't recall directly there), unstable your pet and park it somwhere, like the gate (the gate is best since you will walk into the gate and not recall), but NOT on Ilsh. Leave it on Tram, Fel, Malas, where ever. Once you arrive at your Ilsh destination, summon your pet.