Italian to English Law/Patents Law: Contract(s) Lease

I'm translating a contract of lease of several adjacent plots of land for the construction of some kind of plant. The paragraph I have a problem with reads:

durante il periodo di locazione è espressamente prevista la sublocazione della parte di terreno ** che dovesse interessare le parti di impianto che si dovessero cedere a terzi **.

My doubt lies in the actual meaning of the parts between the asterix.

Does the term 'dovesse interessare' simply mean 'of'?

My tentative translation is:

"... the subletting of such areas of land of the plant which may have been transferred to third parties is expressly permitted"

But, i'm really not convinced !!

Thanks !!