Hi,
In my opinion the biggest issue here was you were deceitful. Not disclosing that her visa was denied in the states can be seen as misrepresentation and as someone said earlier they can ban her from entering.
Essentially, you can re-apply but, you will have to have a very strong submission letter addressing the issues they have brought forward and provide further evidence to ensure her return. Perhaps have a legal representative compose the letter on your behalf because, once an application is denied it is harder to obtain it . However, not impossible.
Best of luck!
In my opinion the biggest issue here was you were deceitful. Not disclosing that her visa was denied in the states can be seen as misrepresentation and as someone said earlier they can ban her from entering.
Essentially, you can re-apply but, you will have to have a very strong submission letter addressing the issues they have brought forward and provide further evidence to ensure her return. Perhaps have a legal representative compose the letter on your behalf because, once an application is denied it is harder to obtain it . However, not impossible.
Best of luck!