Countries like the Philippines, Malaysia, and Indonesia all experienced communist insurgencies. What was China's stance to these groups? Did they supply them with arms and training?
Perhaps he wanted to deep down, but there was very little evidence of it.
China during the Mao Era had very little resources to intervene on foreign soil. (Even the conflict in Korea only forced China to intervene, because of its proximity and only when "foreign forces" were getting too close to Chinese borders).
This is a very good question, and at one level I agree with /u/skyanvil that the PRC in the 1950s and 1960s didn't have much resource to "export" the revolution given that they were still dealing with internal struggles, domestic uprising, and the Korean conflict.
However, it is correct to say that the communist insurgencies in then-Malaya had many ethnic Chinese members. The leader Chin Peng, like many rural ethnic Chinese farmers in Malaya, started his political career as an anti-Japanese, pro-Sun Yat Sen Chinese nationalist, but turned to Communism.
So even if Mao didn't cause the insurrections, it was easy to associate the PRC Communist party with the rebel groups. This was exactly what anti-Communist groups did, with repercussions up to today with many anti-Chinese justified as anti-Communist laws in many countries in South East Asia.
On the other hand, Indonesia under Sukarno had very good relations with the PRC all the way up to the 1965 Coup, after which diplomatic relations were severed. Arguably, Indonesian pro-Communist elements played a bigger role in supporting the Malayan Communists during the insurgency, what with Indonesian soldiers playing an active role.