Watch Nooblet best way to trap a Phoenix and he uses oil jars and a parasajr to find the ashes and traps it.

Using a fire wyvern makes taming easy (leveling melee on the fire wyvern helps tame quicker)

You can get it to spawn next to your base because of the following: It always respawns at it's last location, so if the heatwave ends while you are following it you will know where it is for the next heatwave. It also chases you when you eat flowers... hint hint

here is two ways to tame this bub

one: the quick way,

1: heat wave

2: get on fast and good tame

3: find one

4: if found use fire wyvern or flame arrows

two: the trap way,

1: start from step 3 on way one but wait for heat wave to end.

2: find big pile of ashes

3: place a trap. add oil jars for good results

4: wait for next heat wave

5: light the fire bird up!

To the person who asked, Phoenixes eat Sulfur.

Find a phenix during a heatwave and follow it until it ends. The phenix will turn into ashes and land on the ground but will spawn right back at the same exact spot during the next heatwave. Build a trap 6 blocks high so I can't glitch out and you have yourself a trapped phenix to tame:)

If you're like me and still play ASE, use a parasaur's special to ping the Phoenix underground during a heatwave or after it. When you've found it... Build a trap and look at another tip I'm just quoting raasclark-Macncheezl

You can look for it with a parasaur when heatwave isn active...it can detect an ash pile...i got lucky and found one after 5min

Step 1: find ash pile

Step 2: trap the ash pile

Step 3: bring a Wyvern or flamethrower

Step 4: wait until it spawns on the ash pile

Step 5: burn it

Step 6: you have successfully tamed a Phoenix