On 5 January 2011 he was appointed among the first members of the newly created Pontifical Council for the Promotion of the New Evangelisation.
On 7 December 2011 Cardinal Robles was appointed the Archbishop of Guadalajara to replace the retiring Juan Sandoval Íñiguez who had reached the age limit. As a result, the see of Monterrey fell vacant. On 24 November 2012 he was appointed a member of the Pontifical Council for Social Communications.