This victory moves Chelsea up to seventh in the table and the face Tottenham next time out. Meanwhile Burnley drop to 16th and they welcome Manchester City to Turf Moor on Wednesday.
Chelsea get their first win under Thomas Tuchel with a 2-0 success over Burnley, thanks to goals from Azpilicueta and Alonso. The hosts led 1-0 at the break, with Azpilicueta scoring his first goal in over a year on 40 minutes. Burnley never really got going and only had one chance, which came right at the very end of the game.
Meanwhile Chelsea should have scored a few more, with Hudson-Odoi hitting the post, before Alonso wrapped up the win late on with a superb volley.