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June 24 (Reuters) - U.S. logistics major Prologis PLD.N said on Wednesday London-listed warehouse landlord Segro SGRO.L rejected its all-share takeover proposal, which valued the British company at about £12.6 billion ($16.62 billion).

Under the terms of the proposed combination, Segro shareholders would have received 0.084 new Prologis shares for each share they held, implying a value of 925 pence apiece — a 24.7% premium to Segro's closing price on Tuesday.

Prologis urged Segro shareholders to press their board to engage, and has until July 22 to announce a firm offer for the company or walk away, under UK takeover rules.

($1 = 0.7580 pounds)