In　order　to　improve　the　automation　and　convenience　of　the　process　involved　in　realizing　the　gallium　fixed　points,　an　automated　apparatus,　based　on　thermoelectric　and　heat　pipe　technologies,　was　designed　and　developed.　This　paper　describes　the　apparatus　design　and　procedures　for　freezing　gallium　mantles　and　realizing　gallium　melting　and　triple　points.　Also,　investigations　on　the　melting　behavior　of　a　gallium　melting　point　cell　and　of　gallium　triple　point　cells　were　carried　out　while　controlling　the　temperature　outside　the　gallium　point　cells　at　30　degrees　C,　30.5　degrees　C,　31　degrees　C,　and　31.5　degrees　C.　The　obtained　melting　plateau　curves　show　dentate　temperature　oscillations　on　the　melting　plateaus　for　the　gallium　point　cells　when　thermal　couplings　occurred　between　the　outer　and　inner　liquid-solid　interfaces.　The　maximum　amplitude　of　the　temperature　fluctuations　was　about　1.5　mK.　Therefore,　the　temperature　oscillations　can　be　used　to　indicate　the　ending　of　the　equilibrium　phase　transitions.　The　duration　and　amplitude　of　such　temperature　oscillations　depend　on　the　temperature　difference　between　the　setting　temperature　and　the　gallium　point　temperature;　the　smaller　the　temperature　difference,　the　longer　the　duration　of　both　the　melting　plateaus　and　the　temperature　fluctuations.