serious attention
serious consideration
serious thought

State and town officials said they will give the idea serious consideration.

All you need to do is give them serious consideration.

For some reason he seemed to be giving serious consideration to my story.

This done, we took the situation into our serious consideration.

I should like to ask you again to give this serious consideration.

The house needed money spent on it, that was the one serious consideration.

"But we know each other well enough that if he came around and said so, I'd have to give it some serious consideration."

That is not the only sign the president will give serious consideration to the report.

I do hope you will give this opportunity serious consideration.

I believe we should give serious consideration to the fact that this is also a matter of the future in these countries.