How can I call a {{block type}} for related products?

I have blocks that call featured home products in a sidebar (see example below):

{{block type="filterproducts/featured_home_list" name="featured_sidebar" product_count="6" template="filterproducts/sidebar_list.phtml"}}

BUT I would also like to make a sidebar list for the related products on the product page, how would I go about this?