Question to the Home Office:

To ask the Secretary of State for the Home Department, how many people who passed through the national referral mechanism as victims of (a) modern slavery and (b) human trafficking with positive conclusive grounds status were refused (i) international protection and (ii) limited leave to remain in each year since 2014.

The National Crime Agency publishes statistics on referrals into the National Referral Mechanism on a quarterly basis. These reports are available via the following links:
http://www.nationalcrimeagency.gov.uk/publications/national-referral-mechanism-statistics
https://www.gov.uk/government/publications/2017-uk-annual-report-on-modern-slavery

The specific information you have requested is not currently published.
Statistics on the total number of people granted discretionary leave for all reasons can be found online at the following address:

https://www.gov.uk/government/statistics/immigration-statistics-april-to-june-2017-data-tables. Updated information will be available shortly.