Record kept in Brussels may finally produce encomium (6)
I believe the answer is:
eulogy
'encomium' is the definition.
('eulogy' can be a synonym of 'encomium')
'record kept in brussels may finally' is the wordplay.
'record kept' becomes 'log' (I've seen this before).
'in' is an insertion indicator.
'brussels' becomes 'eu' (Brussels is a metonym for the European Union).
'finally' suggests the final letters.
The final letter of 'may' is 'y'.
'eu'+'y'='euy'
'log' placed into 'euy' is 'EULOGY'.
'produce' is the link.
(Other definitions for eulogy that I've seen before include "Speech or piece of writing that praises highly" , "Formally expressed praise" , "'Encomium, paean (6)'" , "Funeral tribute" , "Speech of high praise" .)