Question: Following a previous discussion about **I would like** vs **I would have liked**, I have a similar question.

What is the difference between

> 
> I wanted to come to your party but I couldn't 
> 
> 
> I would have liked to come to your party but I couldn't.
> 
> 
>

Answer: 
It's either: 

> 
> Last week's meeting
> 
> 
> 

or: 

> 
> Our meeting last week
> 
> 
> 

but I agree with your teacher that:

> 
> Our last week's meeting 
> 
> 
> 

sounds awkward and should probably be avoided.
"Our today's meeting" means literally "(the) meeting of our today". This is why it's wrong. I believe we all agree that nobody would say "meeting of our today".