Tadge Dryja's Discreet Log Contracts (DLC) can be combined with Andrew Poelstra's Adaptor Signatures (AS). I'm simply describing the combination of the two existing concepts without any fundamental changes, but I thought it was worth writing out explicitly since I haven't seen any write-up. Hopefully it doesn't contain any errors.
Starting from Schnorr signature [R, s].
In DLC, the oracle will reveal one of multiple possible s values as part of signing the outcome of an event. This s is essentially a private key for which the public key S can be calculated ahead of time (because R is committed to in advance).
In AS, instead of just R (essentially a public key), you add a second public key P of which the payer wishes to obtain the private key p from the payee. Only by revealing p can the payee make the signature valid, and thus receive the payment.