Security :: Browser Not Asking For Remember Password?

We have a page where we ask users to enter only password in "enter password page" (the user name is taken in previous page).

The Issue is that when the page that asks user to enter password is opened in browser and when user enters password and clicks submit button, the browser does not ask the user to remember/save password,

Due to this when user opens that page next time, user have to retype the password.

You might have seen that in almost all sites whenever we open a login page, the browser asks weather we want to remember the password for next visit.

From the research done so far, we have found that browser remembers password only when the username and password textboxs are on the same page. But in our case we split down the username textbox and password textbox in two different pages.

Is there any way to let browser ask to user weather to remember/save password in "enter password page"?