Which religion combines practices of Buddhism and Islam?

There is not much in common between Buddhism (no soul, no god) and Islam (soul, god) so probably most religions would not take practices from both.

However, Unitarian Universalists promote a free and responsible search for truth and meaning and encourage learning about and respecting the religious beliefs and practices of others.

Also, the Bahá'í Faith emerged from an Islamic context but also recognizes the Buddha as one of the messengers of God. They believe that all world religions are in essence stages in the ongoing revelation of the one religion.