A career best for Jonathan Clare helped Derbyshire to 289 all out before Glamorgan responded with 87 for one at Cardiff.
Career-best bowling figures from Nottinghamshire's Darren Pattinson and half-centuries from Samit Patel and Mark Wagh gave the hosts a slim advantage.
Chris Taylor and Stephen Snell both scored hundreds to drag Gloucestershire out of trouble on the opening day of their clash with Worcestershire.
Sanath Jayasuriya smashed an unbeaten century to guide the Mumbai Indians to a comfortable victory against the Chennai Super Kings.
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