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We present a general discussion of the unitarity triangle from $\epsilon_K$,$\Delta M_{d,s}$ and $K \to \pi\nu\overline{\nu}$ in models with minimalflavour violation (MFV), allowing for arbitrary signs of the generalizedInami--Lim functions $F_{tt}$ and $X$ relevant for $(\epsilon_K,\DeltaM_{d,s})$ and $K \to \pi\nu\overline{\nu}$, respectively. In the models inwhich $F_{tt}$ has a sign opposite to the one in the Standard Model, i.e.$F_{tt}<0$, the data for $(\epsilon_K, \Delta M_{d,s})$ imply an absolute lowerbound on the $B_d\to\psi K_{S}$ CP asymmetry $a_{\psi K_S}$ of 0.69, which issubstantially stronger than 0.42 arising in the case of $F_{tt}>0$. Animportant finding of this paper is the observation that for given$Br(K^+\to\pi^+\nu\overline{\nu})$ and $a_{\psi K_S}$ only two values for$Br(K_{L}\to\pi^0\nu\overline{\nu})$, corresponding to the two signs of $X$,are possible in the full class of MFV models, independently of any newparameters arising in these models. This provides a powerful test for thisclass of models. Moreover, we derive absolute lower and upper bounds on$Br(K_{L}\to\pi^0\nu\overline{\nu})$ as functions of$Br(K^+\to\pi^+\nu\overline{\nu})$. Using the present experimental upper boundson $Br(K^+\to\pi^+\nu\overline{\nu})$ and $|V_{ub}/V_{cb}|$, we obtain theabsolute upper bound $Br(K_{L}\to\pi^0\nu\overline{\nu})< 7.1 \cdot 10^{-10}$(90% C.L.).Comment: 25 pages, LaTeX, 4 figures. Few comments and one figure in view of  new B-factory results added, conclusions unchange

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

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