I found the pump on my 318i to be well and truly seized into the block,

I found the pump on my 318i to be well and truly seized into the block, the mallet and then the sledgehammer methods failed to remove it. After getting frustrated and leaving it overnight, I tried putting a large bolt with a nut threaded onto it on top of the pump and tightening the bolt so that the end pressed against the engine and the edge of the nut pressed on the pulley flange of the pump. With that in place, I tapped it back and forth with the sledgehammer, tightened the bolt half a turn, and repeated the process. After about 10 minutes the pump was appreciably loosened, a solid belt on the bottom of the flange loosened it, coolant went everywhere, and I had room for a new water pump.

That was a pig of a job, I envy those of you who were able to just tap it out with a mallet.

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[Nick at Pelican Parts]

yes it is a good idea to "walk" the component off.

- Nick