Arguelles had previously campaigned against provocative pop diva Lady Gaga, saying her 2012 Manila concert was the work of Satan.
Conservative bishops are famously outspoken in the Philippines, where 80 percent of its 100 million people are Catholic.
Ahead of her concerts, Madonna visited a shelter for abused children and a Catholic orphanage in Manila on Tuesday.
"Chillin' with my homies," Madonna said in a caption to an Instagram selfie with three children, as they lay on cardboard mats on the floor of Bahay Tuluyan, home to about 500 abused or abandoned children.
Wearing head-to-toe black and oversized shades, Madonna came with an entourage of 20 dancers and burly bodyguards, Bahay Tuluyan executive director Lily Flordelis told AFP.
"The children were very happy to see her. She played with them, danced with them and chatted with them," Flordelis said.
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