THESAURUS
make advances
act on, answer, approach, bear upon, break the ice, communicate with, contact, correspond, court, cultivate, draw, draw on, establish connection, exert influence, get cozy with, get to, importune, interrogate, lead on, lobby, lobby through, magnetize, maintain connection, make a pass, make an overture, make contact with, make overtures, make up to, overture, pay addresses to, pay court to, play up to, proposition, pull strings, question, raise, reach, relate to, reply to, respond to, run after, shine up to, solicit, suck up to, throw a pass, wire-pull, work on
ROGET THESAURUS
make advances
Offer
VB
offer, proffer, present, tender, bid, propose, move, make a motion,
make advances, start, invite, hold out, place in one's way, put forward, hawk about, offer for sale, press, lay at one's feet, offer oneself, present oneself, volunteer, come forward, be a candidate, stand for, bid for, seek, be at one's service, go a begging, bribe.
Sociality
VB
be sociable, know, be acquainted, associate with, sort with, keep company with, walk hand in hand with, eat off the same trencher, club together, consort, bear one company, join, make acquaintance with,
make advances, fraternize, embrace, be at home with, feel at home with, make oneself at home with, make free with, crack a bottle with, receive hospitality, live at free quarters, find the latchstring out, visit, pay a visit, interchange visits, interchange cards, call at, call upon, leave a card, drop in, look in, look one up, beat up one's quarters, entertain, give a party, be at home, see one's friends, hang out, keep open house, do the honors, receive, receive with open arms, welcome, give a warm reception, to kill the fatted calf.
Progression
VB
advance, proceed, progress, get on, get along, get over the ground, gain ground, forge ahead, jog on, rub on, wag on, go with the stream, keep one's course, hold on one's course, go on, move on, come one, get on, pass on, push on, press on, go forward, move forward, come forward, get forward, pass forward, push forward, press forward, go forwards, move forwards, come forwards, get forwards, pass forwards, push forwards, press forwards, go ahead, move ahead, come ahead, get ahead, pass ahead, push ahead, press ahead, make one's way, work one's way, carve one's way, push one's way, force one's way, edge one's way, elbow one's way, make progress, make head, make way, make headway,
make advances, make strides, make rapid strides, go ahead, shoot ahead, distance, make up leeway.