It seems that you lived in the UK while on assignment on "fixed term projects" here rather than having lived and worked in the UK under HSMP / Tier 1 (General).HSMP(Tier1) wrote:My situation is as mentioned below:
1) HSMP Approval Letter issued on 11 July,2006
2) Got HSMP visa from August,2006 to August,2008
(migrate to UK two times and did official jobs (1) Oct 2006 to January,2007 then (2) July,2007 to November,2007)
After that
Due to HSMP rules changes I left UK in Dec,2007 and again As per HSMP Judicial review paragraph 43 to 52 I applied from out of UK in January,2009 and
3) Got 4 years Tier1 visa (February 2009 to February,2013)
(Migrate to UK 2 times for good job and did work (1) March,2009 to July,2009 and then (2) May,2011 to August,2011) then came back to my home country.
But still, you should apply for extension under HSMP JR using FLR Tier 1 (HSMP). Also, extension can only be applied for from within the UK.