slightly pushed in softdome tweeter on Fritz speaker

This happened to me once and I used the tape method mentioned by someone earlier and it worked great and the risk factor was super low. That's why I +1'd that method. 

I was always leary of the shop vac method, unless it was a variable speed motor, I always just pictured the suction being too strong and just demolishing the cone. Never personally tried it though, just my wild imagination.

Well, glad you got it resolved and cool to see everyones suggestions.

I purchased a pair Tannoy dome supertweeters that were deeply discounted because of pushed in domes. They’ve a gold colored coating. The coating’s function is not known to me. Tape worked well but damaged the coating. I next tried the shop vacuum. Success with no further damage. 

All the methods mentioned above depends on material of Your Fritz speaker tweeter material.

1. Be: Berilium a metal it may not work, or need more powerful glue tape.

2. Also can use a small tube and Mouth suck to pull at the dent,

3.A pin and glue to pull the dent and dissolve the glue suitable water/solvent.

4. all Vacuum cleaner has bleed to control suction power. 

All the best

I have spoken to Fritz in the past on several occasions in regards to his speakers. He and I are the same age  and enjoy many of the same things including music. He was nice enough to call me yesterday after reading about my dilemma on audiogon forum. He had suggested about the thumb and forefinger massaging method, and stated the other would work also, just being extremely careful. What a great guy with a great reasonably priced product that excels. For the money, it is quite the contender. We had a nice conversation and I thanked him for his advice and concern, as I do for you all too. Your help always appreciated. Robert TN

Despite the warnings, I've used a fine sewing needle with a tiny drop of superglue attached to the dent. Then simply pull the dent out, and finallyTWIST the needle to break the tiny seal.  Reading glasses help.