Interestingly enough, no runtime statistics are returned for our natively stored procedure. As it turns out, we need to specifically enable the collection of statistics for natively compiled stored procedures through the sp_xtp_control_query_exec_stats stored procedure. Keep in mind, though, that enabling the collection of statistics for natively-compiled stored procedure can cause performance degradation. Thankfully we can very easily control the collection of statistics by enabling it for only specific natively compiled stored procedures and turn it on and off directly.
Read the whole thing. Long story short: they work together nicely.