Cost not included in health insurance

So, If I have the health costs not included in payment of my health insurance, can I still collect these costs to include them in tax declaration?
And should I keep this bills or will they be included on Tax declaration that I get from helath insurance every year?

Send all your invoices to the insurance. In January of each year they will send you a statement that shows your ‘contributions’ and amounts they didn’t pay.

ok. i did that. just wasn’t sure if they will include in their statement for costs that they said that they don’t want to pay…