include without output?

Is there a way to do an include(...) or require(...), but instead of printing the output, store it in a variable?

For isntance:

Say I've got a php file named include.php:

<p>Hello! My name is <?=$name?>.</p>

And another file, including it:

<?php

$name = "Billy";
require("include.php");

?>

That will print the html:

<p>Hello! My name is Billy.</p>

But what if I don't want that string printed immediately, but stored in a variable for later use? Is that possible?

Thanks.