Matthiessen's collaborative work with M.A.K. Halliday, particularly 'Construing Experience through Meaning' (1999), extends SFL by integrating experiential semantics with lexicogrammar.

This collaboration elaborates on how language construes human experience through meaning-making processes, linking lexicogrammar with semantics within the SFL framework. It advances the probabilistic view of language, emphasizing multifunctionality and register variation, which are critical for applied linguistics and discourse analysis.