Yes, I 'do' (past) and also told them that you 'will' (mowa zależna) 'to' (wywal to) contact 'with' (wywal to) them in the last week 'on' OF July
to contact Tom (not contact with Tom)
po 'will/would' i paru innych nie ma bezokolicznika 'to'. I will do this or that, a nie *I will to do this or that