Don't if you offer same kind of service or stuff even slightly matching their. Also if you host something which can cause bad reputation to them, doesn't matter how irrelevant you think it may be.
Personal Blog/ Project, Not a lot of Problem /No Hate Speeches.
Do not use Similar looking Logo.
Best:- Put a disclaimer regarding it with a link to their official site. (Easily Noticeable)
The question is whenever the company in name has bought all other extensions? (.net, .info, .org, etc.)
There are lots of new TLDs coming and trademark owners will be given the possibility to register their domain before everyone else. If they don't show any interest during this period chances are that they won't bother.
What MikeIn said still applies. You are protected by the law as long as you don't do something sketchy (let's say my name is Coca Nike and I buy coca.online and nike.online to sell counterfeit products). Make sure to have at least a statement in your footer that you are not affiliated with "Company".