The Red Devils failed to exert any significant pressure until the much-maligned Bebe fashioned a response to Alcardo van Graan's smartly-taken goal four minutes from time at the Cape Town Stadium.
New-boy Nick Powell was given 25 minutes to impress in central midfield. It was the introduction of record signing Dimitar Berbatov that really livened the 50,000 crowd up, though Van Graan threatened to emerge the hero until Bebe struck at the far post.
Nicky Law's thunderous second-half strike gave Motherwell a share of the spoils in a 1-1 draw against Everton in Stevie Hammell's testimonial at Fir Park.
In front of the 4,512 fans, including 1,049 from Merseyside, who turned out to pay tribute to the Steelmen's left-back, Shane Duffy gave the visitors the lead in the 34th minute with a header which went in off the post.
However, midfielder Law levelled in the 54th minute with a left-footed drive from the edge of the box which gave Toffees keeper Tim Howard no chance.