post_content_grid.php

add_filter( 'vc_grid_item_shortcodes', 'my_module_add_grid_shortcodes' );
function my_module_add_grid_shortcodes( $shortcodes ) {
	$shortcodes['vc_post_content'] = array(
		'name' => __( 'Post content', 'fluidtopics' ),
		'base' => 'vc_post_content',
		'category' => __( 'Content', 'fluidtopics' ),
		'description' => __( 'Show current post content', 'fluidtopics' ),
		'post_type' => Vc_Grid_Item_Editor::postType(),
	);

	return $shortcodes;
}

add_shortcode( 'vc_post_content', 'vc_post_content_render' );
function vc_post_content_render() {
	return '{{ do_shortcode_post_content }}';
}

add_filter( 'vc_gitem_template_attribute_do_shortcode_post_content', 'vc_gitem_template_attribute_do_shortcode_post_content', 10, 2 );

function vc_gitem_template_attribute_do_shortcode_post_content( $value, $data ) {
	/**
	 * @var null|Wp_Post $post ;
	 * @var string $data ;
	 */
	extract( array_merge( array(
		'post' => null,
		'data' => '',
	), $data ) );
	$atts_extended = array();
	parse_str( $data, $atts_extended );

	WPBMap::addAllMappedShortcodes();

	$output = do_shortcode( $post->post_content );
	ob_start();
	do_action( 'wp_enqueue_scripts' );
	wp_print_styles();
	wp_print_scripts();
	wp_print_footer_scripts();
	$output .= ob_get_clean();

	return $output;
}

Thanks a lot AngeIII, it works very well. That's all what I needed.
Do you plan to integrate it in a next update or will it be only documented ?

@vguenichon, Currently no plans to integrate.