xtall para cm8870
Depending on the alarm system there may be some possibiities with minimum hardware tinkering:
1) Find a ready made dialer from some "junkshop". They have been used for years for the very same purpose, and old alarm systems are dumped all the time.
2) If you have a PC as a part of the system, you may use a modem card to dial.
3) You might get a "feature-phone" with dial memories and one-touch dial button(s) and make that phone to dial for you. Reed relays or other sensitive relays might be the easiest way to "push the buttons"
And, of course, there are dialer chip makers which give out application notes how to construct a dialer. But tinkering one is a lot of work Also, handling a phone line loop is not very difficult, but to make one legal and reliable circuit is not easy without experience or copying others' tested designs.
Try also Google search for "phone dialer dtmf schematics" or similar....
Good luck,
Ted