Show a dynamic text depending on the day
You can use views_embed_view() to get the output of a view manually. Supposing your view is called 'days' and you want to display the output of this view:

print t('Today is @dayname day.', array('@dayname', views_embed_view('days')));


(This assumes the output of your view is just some text, and contains no HTML.)

By 'on the right-top', do you mean the page title? In any case, you could set a variable in your theme's preprocess function (which goes in the theme's template.php), like this:

function mytheme_preprocess_page(&amp;$vars) {
  $vars['daystring'] = t('Today is @dayname day.', array('@dayname', views_embed_view('days')));
}


Now, in your page.tpl.php, you can write something like this:

print $daystring;