The experienced Wasim Jaffer made 61 while Asitya Tare scored 53 at the Bandra Kurla Complex.
For the visitors, Ashish Nehra and Parvinder Awana were the two most impressive bowlers, picking up two wickets each after Mumbai opted to bat.
At stumps, Hiken Shah and Balwinder Sacdhu were batting on 13 and seven, respectively.
Mumbai were off to a bad start as they lost opener Kaustabh Pawar with just 10 runs on the board, veteran left-arm pacer Nehra being the successful bowler.
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Jaffer's innings was laced 12 fours and a six and he faced 95 balls.
Tare got out to Manan Sharma after spending a good 279 minutes in the middle, during which he found the fence six times.
21-year-old Lal continued to tackle the Delhhi bowlers and by the time he beacame the sixth man to get out, Lad had struck nine fours having faced 137 balls and spent 194 minutes at the crease.
Brief scores:
Mumbai 1st innings: 252 for six in 6 in 88 overs (Siddhesh Lad 74, Wasim Jaffer 61, Aditya Tare 53; Ashish Nehra 2/16).