Form redirect with posted data
In the form submission of the first page you can copy the values in $form_state['values'] into the session for the current user; the page callback of the other page can then access them.

function mymodule_page1_form_submit($form, &amp;$form_state){
  $_SESSION['mymodule_page1_submission_timestamp'] = time();
  $_SESSION['mymodule_page1_submitted_values'] = $form_state['values'];


  $form_state['redirect'] = 'The path for the second page';
}

function mymodule_page2_view() {
  $delay = 300;
  if (!empty($_SESSION['mymodule_page1_submitted_values']) &amp;&amp; !empty($_SESSION['mymodule_page1_submission_timestamp'])) {
    $submitted_data = ($_SESSION['mymodule_page1_submission_timestamp'] &gt; time() - $delay) ? $_SESSION['mymodule_page1_submitted_values'] : array();
    unset($_SESSION['mymodule_page1_submission_timestamp']);
    unset($_SESSION['mymodule_page1_submitted_values']);       
  }

  // ...
}


I use $_SESSION['mymodule_page1_submission_timestamp'] just to avoid the second page gets the values submitted on the form present in the first page more than 5 minutes before. If you don't want such restriction, then remove any reference to $delay.

You could also pass the values through the URL, but there is a restriction on the URL length the browsers can handle, and that restriction depends on the browser, as long as I know.